Question
Solve each inequality and graph the solution :
5x+15≤-10
Hint:
Linear inequalities are expressions where any two values are compared by the inequality symbols<,>,≤&≥ .
We are asked to solve the inequality and graph it.
The correct answer is: x≤-5
Step 1 of 2:
Rearrange and solve the inequality,
![table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell 5 x plus 15 less or equal than negative 10 end cell row cell 5 x less or equal than negative 10 minus 15 end cell row cell 5 x less or equal than negative 25 end cell row cell x less or equal than fraction numerator negative 25 over denominator 5 end fraction end cell row cell x less or equal than negative 5 end cell end table](data:image/png;base64,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)
Step 2 of 2:
Graph the solution of the inequality;
![](data:image/png;base64,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)
Whenever we use the symbol , we use the endpoint as well. So, we use complete line to graph the solution.
Related Questions to study
MN, NQ and NQ are midsegments of △ ABC. Answer the following questions.
i) MQ || __
![](data:image/png;base64,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)
MN, NQ and NQ are midsegments of △ ABC. Answer the following questions.
i) MQ || __
![](data:image/png;base64,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)
Find AB if MN is the midsegment of △ ABC.
Find AB if MN is the midsegment of △ ABC.
In △ ABC, AB = 24, BC = 36, AC = 38
Find MN, NQ, and MQ.
![](data:image/png;base64,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)
In △ ABC, AB = 24, BC = 36, AC = 38
Find MN, NQ, and MQ.
![](data:image/png;base64,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)
Which of the following is the graph of the equation
in the x y -plane?
Note:
We can also use slope-intercept method to draw the graph if the given equation. Where we will first compare the given equation with standard equation . When we get the intercepts and slope, we can easily draw the graph.
Which of the following is the graph of the equation
in the x y -plane?
Note:
We can also use slope-intercept method to draw the graph if the given equation. Where we will first compare the given equation with standard equation . When we get the intercepts and slope, we can easily draw the graph.
Find x if MN is the midsegment of △ ABC.
![](data:image/png;base64,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)
Find x if MN is the midsegment of △ ABC.
![](data:image/png;base64,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)
Place a scalene triangle in a coordinate plane in a way that is convenient for finding side lengths. Assign coordinates to each vertex
Place a scalene triangle in a coordinate plane in a way that is convenient for finding side lengths. Assign coordinates to each vertex
Place a rectangle in a coordinate plane in a way that is convenient for finding side lengths. Assign coordinates to each vertex.
Place a rectangle in a coordinate plane in a way that is convenient for finding side lengths. Assign coordinates to each vertex.
In how many months will Rs. 1020 amount to Rs 1037 at 2 ½ % simple interest per annum
In how many months will Rs. 1020 amount to Rs 1037 at 2 ½ % simple interest per annum
A square has vertices (0, 0), (3, 0), and (0, 3). Find the fourth Vertex.
A square has vertices (0, 0), (3, 0), and (0, 3). Find the fourth Vertex.
![4 x squared minus 9 equals left parenthesis p x plus t right parenthesis left parenthesis p x minus t right parenthesis](data:image/png;base64,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)
In the equation above, p and t are constants. Which of the following could be the value of p ?
![4 x squared minus 9 equals left parenthesis p x plus t right parenthesis left parenthesis p x minus t right parenthesis](data:image/png;base64,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)
In the equation above, p and t are constants. Which of the following could be the value of p ?
What is the sum of the complex numbers 2 +3i and 4 +8i , where
?
A) 17
B) 17i
C) 6 +11i
D) 8 +24i
What is the sum of the complex numbers 2 +3i and 4 +8i , where
?
A) 17
B) 17i
C) 6 +11i
D) 8 +24i
A square has vertices (0, 0), (1, 0), and (0, 1). Find the fourth vertex.
A square has vertices (0, 0), (1, 0), and (0, 1). Find the fourth vertex.
Find AB if MN is the midsegment of △ ABC.
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAN8AAADGCAYAAABSIFV/AAAgAElEQVR4nO29eXwVVZr//z6n6mZjh8gOggKyiIIooCIgW7MoCLIvRklCAPnR9tjtTP9m5jffdlqnu3/t2K1s2QCBsAgiIigCIiKKLIIICCgoILJDSAJZ7q2q8/2jbhU3gIoQyL1JvXnVK+FuqXvqfOo853me8xyhlFJ4hCcKEADmpf8oDQDTsjAtE6kJhDJAKaSmY19MCQikkKVz3h7XhF7aJ+DxM4jLH1AgFCiBxMIKXGDTp9swhc4997WjYqUYBKApE+Eq94oP8QgTvFtjRBAqIAuEhZAmx3/4jt/9PxMZMSqBzTt2oxBYwdcKZZXOqXpcM574whilVPAQWBaYpoVhGigVAOVny6efoGtR1LytJh9++BEBwLBAKYmyvNlEuOOJL2yxgoeNENKe8ikDIUxy83J4593VDHpyKIMHD+aTj9Zz5mQ2PgkCgUKCp7+wxhNfRCBQyh4JNQlgceC77zh8KptHe/WhS6dOFOadZ/e2LfjAfq3QQHjzvXDGE18EIQBLWZjKz0cfb6T27c1o0rwVHdvfzz3N72Tt+ysIFPlRQmCW9sl6/CKe+MIUC4mJDBqeFigDZQTQEGSfPs8n6z6lU6dHiYrWED6Lhx/pxKbNX3Lw0DGUuBSc8AhfvFBDmKIAFTQbFRZCgJT2bO7QNwfZ8cWXHD1xkRXvLgQV4OyZ83x38CSfb/mSO+9q5N1WIwBPfBGBQCHsOZzUeHfl+zRv3pxxk54jNhYsqwgzIJg2fTYfrn2fPv27U61KpdI+aY9fwBNfmOKEx2WI8agQnDh2gg0bP2Pw0OEMeKIfujABA4Xk1Olz/OO1KRz78QdqVGlJSIqMRxjiGSdhypXCA02P5tNNn3M+7wLtHrgfTVhYloWyBAJ4oP296D7Fti2bbckpT3jhjPByO8MTBagQ8VmWibIUu3fv5vDhQ3Tr9iiVKsWCpWFLzyD3YjYff/Ip8bc1pN39D+AT3rgXznjiC1MUVlB6tnxM08Q0TPToKCQC0/SjSQthRSGUBBEgYF1E80VhWrFYliBK98QXznhzvnBGKTdQLqXElIqA30AEH9M1YY96CkAihcQ0TSxlIoXuCS/M8Ua+sEWhQv0lyk42U0oFxaeQKAQSLIESFggDkCih2wsgPLMzrPHE5+FRSnjeTg+PUsITn4dHKeE5XCIUZ62f43xRSiGldy+NJDzxRTChAvSm7pGHd6uMUJwRzxNe5OKJL4L54YcfWLlyZTHz0yNy8MzOCEEphWVZCCEQQhAIBJgzZw4LFiygfv36tG3b1jVDAfd1HuGLN/JFGKZpIoRg7969LFq0iH379jF//nyKiopcgQJ2wrVnjoY1nvgihNCRr6CggPT0dHJzc+natStZWVl8/PHHnrczwvCuVoQghMA0TTRNY/Pmzbz11lsMHjyYV155hdjYWFJTU8nLywMoZnp6hC+e+CIEpRSaplFQUMDUqVOpVKkSCQkJ3HfffSQlJfHhhx/ywQcfFIv7eWZneOOJL0IQQuDz+Vi2bBkff/wxSUlJtGzZEqUUo0ePpk2bNkyfPp3jx48jhEBK6Y18YY4nvghBCMGJEyeYPXs29evXZ/jw4WiahmmaNGjQgKeeeoovv/ySd955xxvxIgRPfBHEokWL2LhxI5MmTaJhw4aA7dU0TZMBAwbw8MMPk56ezo8//ug5XyIA7wqFKY530zAMLMvi8OHDZGZm0qNHD5544gnAXmCraRpCCGrUqMGzzz7L8ePHmT17tr2o1rKKHR7hhSe+MCVUeEVFRcycOZNTp07x9NNPU716dTfsoGkaUkqUUjz44IP07duXGTNmsHPnToQQGIaBYRieKRqGeOILUxxnSVRUFF999RVz5syhf//+9OnTxw2oX06lSpVISUlBKUV6ejoXLlxwR0aP8MMTXxij6zoFBQVkZmZimiZPP/00MTExV83lVEphmiZt2rRh2LBhLFu2jHXr1qFpmpf7GaZ44gsjnHmeMz+TUrJjxw6WLVvGmDFjaN++vRtyuNyh4ojL5/Px/PPPU716dWbNmkVOTg6apt3y7+Lxy3jiCzNCE6LPnz/PSy+9RL169UhISEDX7Tz4q4kp9H0NGjQgOTmZTz/9lOXLl3uezzDFuyphwuWrEaSUvPfee2zcuJExY8Zwxx13/Oz7nURqZ/QcPHgwbdu2Zfbs2Rw/ftwTYBjiXZEwwxHhkSNHyMzMpGnTpgwfPtwd9X4KR7TO++vXr8/YsWPZuXMnWVlZnrczDPHEF2Y4I9jChQvZtm0b//Ef/0Ht2rWvKU7nhB4cEfbq1YuuXbsye/ZsvvvuO/fzncC8R+niiS9MUEphGAaapvH1118za9YsunTpQq9evdznfw7HVA3N6axevTqJiYmcOnWK9PR0ioqK3OC7l3hd+njiCxOc0SoQCDB79mxycnJISUkhLi7uuj/TNE26dOnCyJEjycjIYOvWrW7owZsDlj7eFQgTlFLous7nn3/O4sWLGTRoEF27dr3uFenOyBYbG8vIkSOJi4sjPT2dnJwcN/PFi/2VLp74SpHQvEspJfn5+aSnpyOEYOzYsVSoUMF97teOVI6wTNPkgQceYNSoUbz33nts2LChWEqaR+nhia+UcEY0J4cTYNOmTSxfvpwxY8bQpk0bwM5yud5iSI5opZRMnjyZ+vXrk5aWxrFjx7zAexjgia+UcMQkpcTn83H27Fn+8pe/0KhRI0aOHFkiczIhhOvZrF27NmPHjmXTpk2sWLHCq24WBnjiKyUcYTjHsmXL2L59OxMmTKBZs2Y3bBI6DhxHZEIIBg8eTPv27UlLS+PHH38soW/icb144islHLNT0zS+++470tLSuPfeexkwYECxEoA3ghN+cKhTpw7jxo3jhx9+ICMjg0Ag4MX9ShFPfKWIM+96++23OXjwIM8995wbUC8pszNUgJZl0bNnT7p160ZWVhZ79+51V0N4zpdbjye+UkRKyfbt28nIyKBnz5707t2bQCBw0/6eYRjExcUxYcIETp06RWpqKn6/35v7lRKe+EoJZ843e/Zs/H4/ycnJREdHX2EqljSBQIAOHTqQlJTE0qVL2bx5s+f5LCU88d1CnMC34wjZsGEDy5YtY8CAAXTs2NEtDXGz0HUdXdeJiYlh9OjR1KhRgylTpnD27Fk37uelnd06PPHdIpzUMcexcf78eaZOnUpcXBxJSUnExsaiaZp73AwRSind1RFt2rQhOTmZtWvXsn79ei/drBTwWvwW4eRTOqPemjVrWL16NaNHj6ZVq1alUl1s8ODBNGnShIyMDE6cOFEsLOGNfjcfT3y3EEd4p06d4rXXXuPuu+8mISHhutLHSoK6desyefJktm/fztKlS91zDP3pcfPwxHeLcNbaAbz55pvs27ePCRMm0KBBA7dE4K1GKUWfPn1o374906dP58iRIyUWY/T4ZTzx3SKc2N2hQ4dIT0/ngQceoE+fPgCl2uHj4+NJSkri5MmTpKamFtvfz+Pm4onvFqFpGn6/n7lz53Ly5El++9vfEh8f74ryVrv7HcE7K9779OlDVlYW27dv9+J+twhPfLeQ7du3M3fuXHr37k3nzp2LZZaUxhzLiTXGxcUxceJE8vPzmTFjBvn5+Z4AbwGe+G4ioaOLaZqkpaUBMHHiRGJjY4sJ7lY7XEK3ETNNk3bt2pGSkuKu+XPOx4v93Tw88d0knFopzs/333+fd999l2HDhnHPPfe4K9d1XS+1ku6OE0jTNHRdZ8SIEdSqVYsZM2aQnZ3t1pXxEq9vDp74bhKOSafrOnl5eWRmZlKrVi3GjBlDVFRUaZ/eVbnrrrtISkpi48aNrFmzBrg0IntmaMnjie8mI4Tg7bff5sMPPyQ5OZnmzZuHrSdRSsnAgQNp2bIlU6dO5ejRo95eDzcRT3w3EV3XOXbsGGlpabRt25YRI0aEbQaJMz+tW7cukyZNYu/evSxdutTb3+8m4onvJuE4MubNm8fBgwd59tlnqVmzZrE99cINZ4T7zW9+Q6dOnXj11VfZt28fPp+vtE+tTBJ+PaCMIIRg7969zJ49m169etG7d+/SPqVfxLlhVK1alYkTJ1JYWOhuT+aZnSWPJ76bRFFREXPnzuX06dM89dRTVK5cubRP6ZpwwiIPP/wwjz76KIsWLeLzzz/31vzdBDzxlSCh87idO3eycOFChgwZQqdOnUrxrK6d0IB/VFQUL774Ij6fj9TUVC5cuFDKZ1f28MRXQjgxMcMwyMvLY9q0aURHR5OSkkJsbGzYOyyEEOi6js/nc2OPTZo0ISEhgQ8//JDVq1ejlMLv92MYhhf3KwE88ZUgTsbI2rVreeuttxg2bBh33XVX2Hk2rxWlFMOHD6dOnTpuqflQR1Gkfq9wwRNfCaJpGtnZ2cyYMYM777yThIQEfD4fgUAgIjuqaZo0b96c8ePHs3XrVhYuXOiuhI/E7xNulFvxKXX5oYBLxy91rsufd/Ifly5dytatWxk/fjxNmjTBMIywDCv8Ek7up1KKfv360a5dOzIyMvj+++/Rdb3YVmQe10fk9Yqbgrrsd3XZY1fHNM1iC2EPHz7MG2+8wX333UdCQgJCCKKjo/H5fBHnLXRuLqZpUrduXZKTk9m/fz9Lly71Rr0SwhNfMZGJ4HEN7wqpQub8nDt3LgcPHmTSpEnExsbelLO9lYTudNSrVy8GDRrEa6+9xhdffBGRo3m4UY5b0Aoel49ygmsVodMBpZQcOHCArKwsevXqRbdu3Ur+dG8xoTcXIQSVK1cmMTGRQCDAG2+8QUFBQWmfYsRTbsVnm06O+C5ft/bL4gvNzywqKuL111+noKCAxMREKleuHPGu+ND5nLPo96GHHmLIkCEsXryYTZs2Ad56vxuhHIvPxFIGlmWGJA8rTMPCNBTiFzqT8x5N0/jss89YvHgxQ4cOpX379mUiETl0rZ+T26lpGpMnTyY+Pp60tDTOnj3rrvWL9JtNaVBOxaewLDN4xzYRwl7YqkkJaJgmWNcw8kkpyc3NJSMjg5iYGEaOHEl0dLS7ULasYRgGjRo1YsSIEaxbt45Vq1YVSxL3Rr9fRzkVH0gpUMHiRUVFRXzxxXb+8c8pfLFtG5r2y0t+nPnQ6tWreeedd5g0aRKtW7cutuNsWcIxQ4UQjBkzhqZNm5Kenk5eXl6x5zyunYgUn1IWShkoFezgygQMO2BngUJhoez4naWCz9uzOyv4mKUAIcjNzeX1Ka+T+MzT/OH5P7B23cdoOpc+2/2bxQsdSSk5efIkU6ZMoUWLFgwaNMgd7UqrCO7NRkqJZVnUr1+fZ555hl27djFz5syrrlF02hpsE7/448E5ojLtaxZ8XCllP2cpLPsK3rovVwpEbA8xrAIChh/LBGUZWIYfI6AIGGBYFkVmwBaaYRII5HL82Dly8vxYVlC0QqLh44MVH3Dkh4NMHDeElne0otCMxQSkVrxpnGx/Z2QTQrB8+XJ2797NxIkTady4MYBrhpXFUcCZA0opGTRoEI888ggZGRns37//qjcbv6XwBwIY/nyyz5zg9OlTFBkmhQGTgBHAKCokPzeH4+dOk+8vAkd0ysRUBiZly3q4nIgUn32njSYn5wwZGVP4cO0GzIAPIRTfHtjHjNRMzpw+gxQKqUnycnN44YX/5PPNO0FqWAoMS2Fail69evPyy3+mb5/uxETHYgrN/RuX/81Q9u3bR2ZmJo888ghDhw517/plUXShON+vevXqTJw4kUOHDjFz5syr7vMnUEgBGH4mT0ihZ8/f8MHadUifDkJD13y8t3w54yaM41xuDkKTuONg2R70gAgVn1ICYfmIjtL4eu8X/P1v/8vRH05T6L/IlOn/yyeffEa0T7c7gybRpODEyZP4on1oQqBpOkJKJFCtahUqVKyIYZhYlokMdqDLrM4r4l5ZWVkcOXKEhIQEKlasWC69fZ06deLJJ59k4cKF7Nix47JnFRoKDROfJjh7+hTHjh0jI2MW53MvoIQGmsbFvDyOHv4B03DaT/Jrkh0imYgUHwDKpFLFqjw3+V+4mJ/D9NTXWfTmYjZv3sHk5yZzW/VqHP3+W/Z9sZ09u/dQWFjI/m8Osn3PXrZ/tYfc3DyQwp1rKBRS6AhhR/9+agCTUvLll18yb948HnvsMXr16oVpmmVyjvdzKKWIjY1l0qRJAKSnp1NYWBj6AiQKISwsI0CFuFhGjBjGvr1f886ylWgaICRSaGg+H8XEpsq+8AAi0x8uFGBgBjQaNWzFs88m8qc//5kly2KY9NvnadOuDRcLc8hIT+e95e+jdItvvs/n+P//ChUrWcT4YvivP/8nvbt2BdNCExJNaqAUlqnsbvAT17+goIC//e1vaJrGuHHjiIuLIxAIlDvxOSUnWrduzZgxY5g2bRrDhg2jV69ergmqSQHBOZwyTR5o1w7liyMtLZWe3R/hjvp1UUIihY5lhdqZkuAtsHS+3C0iMnuMUljKAEsAkuYtmiA1i+zsbJo2a4nUJJoviqeeSSQtM5O/v/IX7rvvXiY9N5mMzHSmTnmNdu3a2GakKxp79EMKJFc3O3VdZ/369axZs4ahQ4dy7733uqNeeROfM8f1+XyMHDmSWrVqkZqaysmTJwGCieQKhAShYVoWsdFRPP3UGM6dPsGKZcvsDxISZSl0zRkHHMFJPPGFIQKBLmPRNcGF3HOkzZjFA/d3pHefbsxIm8KxY6eReiwNGt9Bm/btaXPfvcRER9O6RXPuv6c17e67h2pVqtq2pRQIREgIQdgzjstaRtM0zpw5w4wZM4iPj2fs2LH4fL4yF8/7NTje32bNmjFu3Dg++eQTVq1aRVRUlO0vEXbSAoigM0bRumULEp9+ivlvzOKbPXvQpY4S8qft/DJMRIpPIVCmhhIBlq9czJ49+5g44V/41z8+zw8/7GX+/IUEAgrQUKaJYUCFCjHIYPTI9BchTAOhTC5eyOX4yROcOn2OIn8hOefO8uPps1y4kG//rZC8xVWrVrFx40Z+97vfceedd7rnU9Y9nD9FaNuMGDGC5s2bk5qaypkzZ5BSYqqg8OxXoxRoumTUiGEIK8CCuXMxDCPoXgkG6lH2gKdEmfd4RqT4QCF8Fj+eOMlbb6+k/8BB3N/+flq1uJvkp5/mo1XvcPzIEXy6BCmpWq02U6b+jY4dWiEQSN0HBED6Wb5yKYOfHM6Eyf8fOUXnWfXuIgY99gRvLVni1mQRQnDkyBFef/11WrduTb9+/dz0svK6sFQIQVRUlFvvpXbt2iQnJ7N3714yMzNRQECAoQyk8iMshR8fBQpub3Q7Y0cPZe3qlezev4tYGYNlggEoYSGEgY6JXsbFF5kOF8AwA1SqXIX/ffWfVKtWDcOwSzUkPp3I4/0ep1atWvYLBUgtitq1a116sxQoEwKmQe++fejQ8WF0PQopooLBdIsqVSq7ey2YpsmSJUs4cOAAM2bMoF69esXCDuWVy7/7wIEDWblyJTNnzuTxAQNo1Owuu+anZaKknS9rACaKISMGsWbdGpa+s5SGd9yDFvQ8O0u8hBJlfcoXqSOfTXR0NA0aNKBChQruSBQdE03Dhg2JiooOSXe6yi1UaUh8VKlSncaN76Rhw0bUb1CPBg3r06hxQ6pWreJmc3z99dfMnj2bRx55hO7duxMIBMr1XO+nqFixImPHjiU7O5vMzEyMgJ8o3YeUPvyGnbKnCzu9rGqtugwbOZxzZ7Pt/NBQsxOunHSXQSJ25AvdW87BuRPbu73+3FcTaDLKTjNTzuUOXVjrxP8EhmEwd+5czp49y6uvvkq1atXKZWjhWrAsi65duzJi+HCWvrWEx594gi4PP4Ahouj3+ACaN22KDE7pUII+/frz4p8LKCiCmOioywa6su/tREUkllLKVJZluIdh+Is9ppSlLOvSccUnWJYyTec5K/g+v7KsImVZRSoQKFSWZarPP/9c1axZUyUmJqrCwkJlGIby+/3KNM1b/J3DG8uyVCAQUEop9crf/66klGp0whiVk3dOWUaBMgNFyrSU8iulDBVQpnlRKZXvvt8wlTJMQ5mqSFmWXynDsi9zGSaib9/OnMtZ+Bn62OXPX+29UnKV10qEsON2hYVF/POf/6RixYokJye7++pZllWu53pXw7kGBw4cYO7cucTFxfL+eyv59NNNCC0GQ0ksS6EpZZuYUsdC2AF4yx7n7LEuaHkIUdadnZE957sxzJDDucx20B4kUvp4//33WbduHaNHj+b+++9353m6rnsLR6+C3+8nIyODEydP8vLLL3Fn40a8NmUKx8+eBU0LhvLsNjSDmZ8KEVJGp/iSpLJOORVfaHlAe65na0mglC3As2fPkpqaym233cbTTz/tzi89R8slnBuQ83Pr1q0sXryYrl27kpiYTFLSWLZt3srKlavQgskLUgXXWSqJcrqfACGUM9OmzM/1gkSo+C6NUD99/NwFFNiZF5cOpcDvN9z1em+//TZbtmxh8uTJNGrUCLBTqZwanJ7DBQKBgLtvQ2FhIRkZGZw/f57nn3+euLg4hgwZSevWrZnyj//l0HeHkFJgKnu5kLAsNARSCNuxKW1TVBAVNPvLftJLOe5BoQK+VBBJSsnhw4eZPn06Dz30EP379y+2nMjDxmkP0zTRdZ21a9eycuVKUlJSaNOmDZZlUbVqNZ777XP8cPgQC+bPC7axnc1i3x4vv0k616R8tHM5Fl9xQsujz58/n8OHD5OcnEx8fLxXGu8qOO0l5SUTvV69egwZMgRN09yqZl26dKFHjx7Mnj2bPXv2FNvroby3qSe+IE661I4dO5gzZw69e/emS5cuCCHcEdHjEo5wNE1jxYoVfPrppyQlJbmjHtjWRJUqVXj22Wfx+/2kpqZSUFDg1nvxxOcBEAwtFLJw4UJyc3OZMGEC1apVA/DmeD+BpmkcPXqUtLQ0WrZsycCBA68I/QQCATp37sywYcNYvnw5mzZtcl9T3tu0fH/7y/j0009JS0tj8ODBdOjQASi7lchuFGf+u2zZMreIVL169YBL2UehN62EhARiY2OZMWMGubm5V1Q7K494vSpIbm4u06ZNo379+iQnJ5fJorclzZ49e3jppZfo1asXffv2veprhBD4/X5atmzJ+PHj2bBhA+vWrYu4XZtuBp74gqxZs4b169czePBgWrRoUe7vyr+EYRjMmjULTdNITk6matWqV92z0AndSCkZOHAgzZo145VXXuHEiRPl3ntcbsVnWRaBQACA48ePM23aNFq0aEFKSoo36v0Epmm6bbZhwwaWLFnC448/TufOna+afODU+XTS8pxiu1999RWLFy92xenscVjebnjlWnwqWAh3yZIl7Nq1i3HjxlG3bl0Mwyh3HeFakVKSk5NDWloaPp+PF154gZiYGODqK/pDc2ullDzxxBN07NiRjIwMvv76a3dO6ImvHCGEwOfzceLECTIyMmjfvj19+/Z1hVfeTaKr4ThRVq9ezYcffsjo0aNp3LixO+r9nHicG121atV44YUXOHz4MPPnz3cLUJXHhcnlVnzOvgOvv/46Z86cYeLEicTHx5eJTnAzRhDnM7Ozs5kxYwZNmjRh5MiRbmIC/HwtG8e7GQgE6NixI4MGDWLhwoXuLrflMe5XLsQXOvF39pITQrBt2zaysrLo06cPnTt3BiI7tOCkyDnf0TlCH/up3y+vuO20lfMax2mSlZXFjh07eOaZZ2jatCnANd+wnBGuQoUKJCYmAjBz5kzy8/PdzylPRGYv+5U4WSpOB5NScvHiRWbNmkVhYSFJSUlUrFjRfW0kFkRyRg5nrWHoCgzncUdEgOvocH6/2ueFPiel5JtvviEzM5MHHniAxx9/3H3tr20vv99Phw4dGDJkCMuXL+ejjz4ql06uciE+sDuI0/mEEKxfv55FixYxYcIE2rZtW2aWCjmjkFNZLHTfeMfUllLi8/lcLyTgCvHyz3FEaJomCxYs4Ntvv2Xy5MnUqVPnV5uJoZktuq6TmJhIrVq1SE9PJz8/P+JueDdKuRCfMyo4GRdnz54lPT2d+vXrk5CQUKwTRiaX5kualCjLYtu2L/h67z4Mw14sLITt+ldKsW/fPj5Y9QGffPIJOTk5aLq9cczVpOSIdvv27aSmpjJw4EC6dOlyXU6p0Bo7hmHQtGlTRo8ezYYNG3jvvfdusA0ikBIuSxG2mKap/H6/UkqpN954Q1WvXl3985//DNZyMa9a5yWssZSyTFNZlqksFVCm5VeFBXlq/9e71L8//y+qYYPGauzk36u8Ir9SlqGUFVBnz55Rf37pZdWzZw/VpdOD6v42rdUTA59QW3fuVvmmUgGl7M+zTGWadrsYRkDl5uaqxMREVa9ePfXZZ58ppdR11bAJbWvnOHTokOrWrZtq1aqVOnr0qLIsSxmGoQzDiLxr8ispFyOfgxCCQ4cOkZmZSdu2bRk6dGhpn1IJYK/EF0Lw7Tf7efG//ovsM6epVbMmOflFWEJir15VnDt3lqiYGP7t3/6Vt95axP+8/Cf27dvHvEWLKXLNzuDqfqHsmiuazieffML777/P8OHDadeunWu+q+swO0PDCoZhUK9ePRITE/nhhx+YN28eRUVFV8xPyyrlSnwAixYtYteuXTzzzDPUrl07coO7QgV3axJ2+UOlqFEjnud+9xwv/s/LNGlyp/29gpahMi1q16nN+JQUunXrQY2aten8SGdat27NubNnMEwr+FITW3wWQuKa6FWqVGHixIn4fL5Lp1ACczQpJY899hgdO3bkjTfeYO/eve48tazPAcuN+KSU/Pjjj8ycOZPu3bvTr18/AoFABF/g0Bo0dhGiWrVrc3/HjlSqEHupBIO69PqY6BiiY6IJBIoIFBbw8ccbOHDgezp0eJAKsVGo0NqlSiGFZNmyd1i/fj1JSUk0btzYLZ9fEqsSNE3DNE0qVarEiy++yLlz55g3bx5+v98+40i8Kf4Kyqx/1zGLVIi37v1gQ58AABh6SURBVNVXXyUnJ4exY8dStWpV1y0fmYH1EOEhEGiYlr0hpUKhlOm+yq5QZJt7+/buIyMtlbMnjrFt82Y6dO3JY4/ZKxJMS4Gy7F2bUOTmZJOebq/VGzp0KEKIYiGBG22z0BHu3nvvZeDAgSxatIhBgwbx8MMPlxkP9E9RZkc+x5x0LuCWLVtYuHAhgwcPpnPnzm7QODKFF4qzhbJE13wgBBKFpl25P7pSiooVK9KqVSsefLAjv+ndg/37v2bJkiXkXSxCKYKbg0pMw2LatGns37+fpKQk6tata39OCd+sHAHGxMSQnJxMXFwcGRkZ5OfnR2yywzVTGl6eW0Gox+zs2bNq1KhRql69euqLL75QpmmWgYrTAWWpgmCVbUtZplLKtJQy/cqfe1KNHjlcDUqcpM77DdvbaRaqIn+hKvAHgu/PV/7Ck+pf//gvqnGLu9XHW79UAaWUv6hIKUuprdt2qCZNmqmBAweq7OzsW9Jefr9f/fd//7eqVauWWrBgwU3/e6VNmb61OGlkGzZsYNWqVfz2t791d5MtGzhzNAcBUiKkvcOPIFiqIThK6ZpOlE/HtEyUZeGLjqJ9+/tQlsHF/DwApPRRVGgwb84Cjh49yrPPPkvVqlVvuvdRBXf+HTVqFHXq1GHBggWcP3/+pv29cKDMis/JwD958iTTp0+nQYMGjB49OqJzN4sTWmbPQmBiWX6MgkICAYVpKDTTJFAUwDAtLGDP7p2sWfU+589kY/olJ09k8/bbK4ivXo36tWohAU0TbP1iK4sXLyQx8RkefPBBLMtC07Sbap47DpzGjRuTkpLC6tWrWbJkiZtj6qz5K0uUWYcL2N60d999l23btvHyyy9Tq1YtDMMoMwWRBFowlGCBkHzz9ddMnzqd7HPn2Pz5DvwijvGJE+jQ/l5SUhLIyztP6rSppCudKlWqceTEUYqKivjj73/PnQ3qgWlyLieH6dOnUKlyLElJScTGxt6y6m2OA2zQoEGsWLGCKVOm0LNnT7c2TGTPza+kzIpPSsmRI0eYPXs2bdu2ZcCAAa6TRQUdMZEtQMfRcun/cXEVubNpUwoLCmnX/hH8SqfQf5H69eshENx3Xzv+8pf/4fNNWzl2/AQdOz/Iw5060ahRI9si0DTWr1/PBx98wOTJk2nVqpUrCKe9bvboZ1kWNWvWJCEhgZSUFObOncsf/vAHfD5f2VtnWYrzzZuKaZrqT3/6k7rtttvUW2+95aYzBQIBFQgEyoDDxVJKGe5hGn5lFBUqy1+olBFQyrSUpeyUsYBpqkCgQJlmoVKmXynLUir49Q3DUIFAQBmGoX788UfVvXt31aZNG/X999+76WB+v18ZhnHTv5HjJDMMQ+Xn56tRo0apRo0aqS+++OKm/+3SIJJv/cVQIevPAPbu3cu8efPo1q0bv/nNb9zXOHfvyB71bOytRewR0Bm5lJBYSqGUXZpdmfbvUtNACCylsEzTPoJt5cyPV65cydatW0lKSqJhw4bu87fKTA8dWWNjY5k8eTJ+v585c+ZQUFDgWizOoSI8CB/5PTBIaFyvoKCA119/nby8PMaPH0+FChVc4Ukpy0jZOuEeygmiSw2p6UjNXqUghEKTKrhDkLQPqSGkQASbwOnAhw4d4tVXX+WBBx5g8ODBxVaB3Kr1jc5N0bk+bdq0YciQIbz55ptusV1PfGGMpmls3LiRZcuWMXr0aDp27BjhaWQ/TejIh7okRmcuKDAQWCEzw+AmXAIsobCU6a5zTEtL4/Tp00yYMIGaNWuGRXtFRUWRnJxMjRo1mDZtmltqHi5ZMZFMZJ/9ZWiaxvnz55k+fTqVKlVi1KhRxRKByxKhOwxCiPZCXmELz+LSHq/ikjaDKpRSuqX8unfvTo8ePcJmH0LTNGnatClPPfUUGzZs4N1333VDHmWh4nWZEZ9TdWzt2rV8/PHHjB8/njZt2rgesnC4k5c0TqTvp9G4FAssfkhpd+KCggKmTZtGTk4Ozz33HFWqVLE/Oww6t7Mif8SIEdxxxx1Mnz6dY8eORXA+bnHKjPiio6M5fvw406dPp2nTpgwfPhz49fVFIoXQEHuxQc99QILQg4cW3GteIIP/UHbbOKvIR48eTYcOHVzBhUO7qWBifP369Rk/fjybN29m4cKFwNXrzkQaZUJ8TodZtmwZu3btcjftcGJUZcPBUrIIIcjJyWHq1KlUr17d3fracbSUtvCccwT7+j722GN069aNmTNncvDgwWIlCyOVMiE+IQTffPMN06dP5+GHH6Z3797Fni8LnrGbwYoVK/jkk08YN24crVq1KhbEDpc2c+q9xMfHk5KSwunTp8nMzHTL1kcyESk+xxxxOodlWWRlZXHy5ElSUlKoVq1aMW9YWZgf3ChOGMZpM2fr67vuuov+/ftfMY8KB7Pz8tBDjx493GK7u3fvdkskRmreZ0SKDy51JrDX6s2ZM4e+ffvSrVs3Nx4EnvAcnDZxHFNLly7lq6++YtKkScVKvjuvDQcu30QzNjaWZ555BqUUaWlp5OTkuKayE/uLJCJWfA6FhYWkpqZiGAbPPfccUVFRZSBvs+RxTEqfz8eePXuYMWMGXbt25bHHHnPnxuGOaZq0bduWMWPGsHLlSrZs2QKExyh9PURsD3U6zPr163n//fcZPXq0mwgcLg6DcMJpj0AgwJw5czh37hwpKSlUrlw5YhKWnWs7ZswYateuzSuvvOLucgvhM2JfKxElPmee55gip0+fZsqUKdStW5fRo0cTFRVVZgKwJYHTBk67SSn57LPPmD9/PgMHDuTRRx+NqPZyTGcn8L5p0ybeffdd1/Ppie8mEbqS2ulIq1at4rPPPiM5OZlWrVoB3NJcxHDHSTYHu+Pm5uaSlpaGrutMmjSJChUquKGYSAjHhE4lhg4dyl133UVGRgZHjx5F0zRvznezcATl3OFOnDhBeno6d999N/3794+IO/etxGmnUMfURx99xOrVqxkzZgz33HNPKZ/h9eGMcrVr1+aPf/wjX375JQsWLIjIXM+IOttQx8C8efP49ttvmTRpEvXq1fPEdxmhpqazm+zUqVNp3Lgxo0aNcl8TSVxuHvfu3ZvevXszZ84cdu3aVYpndn1EjPhC53v79u1jypQpdO3ale7du0ecuXErcOZHTmd988032bFjB2PHjqVp06YRWUTq8lhkbKxd6iI7O5v58+cX29s9EvpERInPNE0KCgpIS0vj4sWLJCUlUb169YicbN8KnJHvwIEDvPrqq7Rt25bHHnvM3SosEtssdE4fCATo1KkTTz75JAsWLOCzzz4rtjdhuAswYsRnWRZRUVFs2bKFpUuXMmDAADp16hSx2Q23AiklhmHw5ptvcuTIESZMmEDdunXdIlKRZnZejqZpxMTEMHbsWOLi4pg+fTrZ2dmu8yjcby4RIT4n2TcvL4+MjAyEEPz+978vs2v1SgpN09i5cycZGRn07t2bbt26ubVMywqBQICWLVsyfPhwPvjgAzZv3hwx4ZOwFV9o/qZjPq1du5bVq1fzzDPP0KxZMwA39y/cG/pWELoNNEB+fj5paWkEAgFeeOEFqlSpUsxsi3QROuev6zpjxoyhadOm/PWvf+XUqVMRYQ2FtfhCHQbnz59n5syZ3HHHHYwcOdLdWji0zkh5xrlJObmbQgg2btzI8uXLGTp0KPfee68b0ytLcVDHxLzjjjsYN24c27dvZ9myZRHRJ8L27ELjVFJKFi9ezOeff05iYiJNmjTxRrrLuHwRbG5uLpmZmdSoUYOkpCSio6NL+QxvDqGx3wEDBnDfffeRlpbG4cOHS/vUfpGwFZ/jtZJScujQIVJTU2nfvj2PP/54RLrJbzahC08B3n77bT744AMSEhJo2bJl2KzPK0lCt3izLIv4+Hj+/d//nSNHjpCVlYXh7rYbnoS1+BxvXVZWFt999x1JSUnUqlWrtE8trJFSkp2dzcyZM7n77rsZNmyYm5pXVkxNh1Cz0gmfPPjgg/To0YP58+dfEXgPt5tP2IrPMAyklG5A3VmrFwnxm9LCiYVmZmaya9cuEhIS3OK3ZU14cGXQ3bIsKlasyIQJE7hw4QIzZ87E7/eHbTgqbMUnpeTixYvMmDEDpRSJiYlUrVo1InP4bhW6rnPw4EFmzJhBly5dGDhwYLFk9LKOM/9r3749I0aM4K233uLjjz9G1/WwnKqEbS/WNI3PPvuMpUuX8uSTT9KhQwf8fn+xNDOP4hQWFjJ79myys7NJSUmhRo0a7rynPLSX4yfw+XyMHj2aatWqkZaWRm5urmuWhhNhJb7QnLzz58+Tnp5OlSpV+MMf/kBcXJw7DywLlatKAseJ4tyMtm3bxoIFCxg4cKAbUC9P7eX0D6UUrVq1IiEhgTVr1rBixQr3eYdwaI+wEJ8jutBKyatWrWLDhg08/fTT3H777Sil8Pl83nq9IE6bOXG9vLw8Zs2aRVRUFJMnT8bn86HruhsLjYT1ejdKaMElTdMYOXIkrVq1YsaMGRw/ftwVpnOU9kgYFuILLQMghCA7O5vU1FTuvPNORowYUew1HpcIXTL00UcfsXTpUkaMGEHz5s3LZGjh11K/fn1SUlLYuXMn77zzzhUZU6Xdp8JCfHDJDBBCMHPmTPbs2UNKSgoNGjSgqKiolM8uPHEyVs6cOUNqaiqNGjXiqaeecjeS9IB+/frRtWtXpk6dyv79+11nXTjkuF6X+C6vm3l5HmboY9c6tDvJ0wcOHCArK4sOHTrQt29fLMvyOtNP4HSet99+my1btpCYmEjjxo0JBAKeUwp7TlyjRg2effZZzp8/z8KFC92djq7FMgjtw5f38dC+fr1c98h3ucic+Zrz++X//7kTdZ4rKipi9uzZHDx4kOTkZOLj4z3R/QyaprnZP/fccw9PPvmkW+HLw8YwDB5++GH69OlDVlYWX3755TWLL3QfQGcQCR1MbnTOeN17sl/uOdJ1/Yq6IY7r91ruwLqu89VXX5GVlcXIkSPdraqcSXQkLBG51ZimyZw5czhw4ABpaWnUqVPnivYuz23m9J0KFSowfvx4Nm7cyKxZs2jfvv01zfmc8ESoFRHaD2/Usrgu8YX+UefkioqKgielUMreNcixr9Uv3CGEEOTl5TF16lR0XWfUqFFER0fj9/uLNYAXXL+EEILdu3cze/Zs+vfvT58+fTAMw80McgoHl2fTM9Q8vPvuuxkwYACZmZkMGTKE7t27/6Jp7jgAHcstOjoKIew+WBKeUqGu69ZoC0whkEJx5OA3/Nef/puT5y8iUVSM8dG5SxeeHDyE6vG32Y4BIYKbNAqUuGwfR+Ddd991lwq1a9fONQ3Kc+f5JU6dOsXXX39Ns2bNaNiwYTHz3rMULonHEdmpU6fYtWsXffr04Y033uC2+NsAsIJdTKAQVjAZW0oOHDjIojeXsHXrF+i6pHv37vTt9xgN6tdDKRAC5A30z+szO52JKBIpLLJPHGLrpk/pPjSRu++6k5yj3/JGRjo7d+/lxf/5C1WrVAIsdGWikJhCQ+OSAP1+PwcPHqR9+/auqeDsQlPeO9DPUbNmTerUqYNlWVfs2uO125VtEB8fT69evahYsSLffPMNNapVR0gNE3ujXt0ysfwX0aJ01q/7hP/3P/4PvpiKdOnaFSk1lq94jx07d/OnF/8P8TVqoEwLn65dMZBcK9c95yuGZVIxLpb+A/rSvf19oIrw+aKYOjOLIz/8SLWqzRFKgAjdzPjSKWuaxlNPPcWYMWMitvS3R/gTaobGREcDpr1htrAdVCYmepSPE8d/5OW//I34WnX4y1//RpMmTUEpjh49yt69+9B1HSs4xbqRXloy4hMCSylMw8AENCGRUic6KjroiAnehYTFJeFd8shpmkb16tWLrc/y8ChpHO+lm+cpTAQmIO0plAQhdDZ+vo0vdn/NG2/Mo0WzZgSCSdn16tWlfv36tg/CstBlKThcLkcIgT/g58svd6ECAU4d3M3bS5cyatRImjRpTMBS6JoFrhlwpUnkzFdCnQUeHiVJsXCBUiAUSjgjmEIChhFg5+49VKpeizua3gWo4LxOYSlAmbb/QgrEDY17JSQ+TdMoKCgkLS2DKlE6svAcObk5nD17muzs89wWX+OaPsPD42ai66HdXYGysELEh7II+Is4c/oMdes2oELFSggEQigsSyEFSE0DVTLTohIRn2EaVK5UiT+8/CKdH2qPXpTDR+tW88J/vkSdRreTkpwcnOLJkMPDozQRWEJiBa0wAUhlEiWgUmwsF3Ly8BcUoZSFsCw0EcylBVRQqCBtl+d1UiIqsO8IkqpVK1O9ahXia91G/4H9eOihB/h8y+cUFBXZ8RElQWn2Tw+PUkcDdAQaUgGWQvP5aHL77Rw5eJAzJ04ihERh+yrsqZCz1fiNe5RLRAWmpaMsQZTQsMvY+vD7DU6ePEml2BhifTrBe4v90/OC/yKX8goVULwQkHK8dJZCKRN7MnIJAzBU+K3cDj/sPikcEQkNpE7HDh2Ir1qReXNnkV+Qh6ZFIaUPS5l8tWsHuRdyUEqgVCmkl1lCYAqFMg1AQ4lYCgsCfLXlU6zABQwjwLo1azh08Af+5bl/Iy6YGK2C2QG2b8nzaP4clmWiLAFScvrQfhYsWEJeVBWGP/EYje+oj2EoohBYsgjdjOXU6RPMWzQT46KgX+JYGteJR/Pa+WeRTqhABIsNaxrKsrjrnlakpDzFa1Omk5+fS6+evdA0nY0bPyH7/HleeunPVKxU7Yb//nXO+QQKZZu7SlCxclUa3n47CxfMR7y1GKlJmjRuwuuvT6Vr165XeC+97vDLCAFKWOiaxrHD35Gemsa35wP4AgGe+/0kLEuAZoE0QROsWbOWv770MroRS+s+vWlUJ97NwvD4aUSIGWYpgakUui+KCRPHU79hI5YseZt//OMfxFWoQOu7W5OUmEjtmrUxDANd3piT8DrFZ8fqhAQsizua3MmCNxdRaPhtA0kKKsbGERcdi1UCSy/KJwrTNOziP8qkxm3x1GxzF2vWfMjQEYNp2KAxyjJQGFzIyeGjj9bRo3t39u74DssQ6OL6My/KD7b7JBQ7cwuio2IYOngw/fr1d/OWK1eqhB7cH8Qy7ZihdgMhset7pwKUZSesoNCifFSqUpka8fHEx9fgtvh4YmNi3SRfL2Z3PVhITWGqAFKT6FKjT+++XLyYz5atX4AASxn4hM66j9Zx+PD39OzZEw0f0rms3k3vGhDuIYREkzpCSKS0t5mOiYqmWtVqxFevQVRUFMpSWKYdJ7yRvE64TvEJAbqQ9nxCXDrsBGqJRKBrOlHR0cX2Bri8zqLHTyMlaFKiCR+WpfD7A7Ro0ZS2bduyZPFiLl70gxBcCOSz6oNVtGjRguZ3NQOlEAp8eCl6106I+DQNXdPRNB2f7iPK50N39gMREp+uE6XrRPmibjg2fd0jn1Dur1giNDMcdyT3Lv6NoAWPYK6rFERFR9P10UfY/80+9u7fj0+PZf+337Jz5y769OkbvDMbCOXNq389jjc+VBIh3vnQw2ndGzQsrm/kC/npnkvI1faMzBJAyZB4qAyaOwaPPtqZatUrsWrV+xQEAqx8bw21atbhkc5dMC0ThYGUlie+a8EVUyihIry5rXgDOhE/c3jcKJa9ugxn7aSBwjAVt91Wk549HmXNqpVs376T1as/onO3R6lYtRIYlm2SKCu4TMab8/16bl0fvj7xCds+FsK2g51/zmMIb+y7UUwEfhUAlY8lwNB8WAgKgb49e2CeO8brf3+dgovwUK9H7TcVaShToAMFgKm8G+HP8pM6C45+4iqrvksQTyVhiqWCEzdhoSwwTfu/JtDkzibc3eouli5ZwoMPd6JV85aABQgChomy7IxFb8pdQtwkI69k1vN5lDhSCrAkWIKomDiaNmtGlQpxSAVxVaryxJBhHDzh58knBwJ2jZuYinG0uKclsdGad1eNAK6zhovHzcawLBQKaVyk4GIBp7MvUrlmXWJjo/GpfAL5+Zw8nU/VOrehR+lEKwurwM/pM9nE1ahBdKU44qT0RBjGeOILU0wUSllIZSKFBKFjYedQSwL2Y2gYgMJCWgoNOxfUxDZPfXjur3DGE1+YorDspSzKXjEtVHA1tbATNi1AKIkIDbg67w0qzkswC288qySMUUpgIbEIbvGlDKRlYSqBgcASJsKyk/IVYAj7EJZCWspbuhXmeOILe5xqpwTFpNwIoI0TUHfcb1eNHHuEIZ7ZGcaokBKLThI7gBJu+eGgKAWXQnrKTf3zYg3hjSc+D49SwjM7PTxKCU98Hh6lhCc+D49SwhOfh0cp4YnPw6OU8MTn4VFKeOLz8CglPPF5eJQSnvg8PEoJT3weHqWEJz4Pj1Li/wKldyjxztv7bAAAAABJRU5ErkJggg==)
Find AB if MN is the midsegment of △ ABC.
![](data:image/png;base64,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)
Solve each inequality and graph the solution:
-0.5x>-10.
Note:
When we have an inequality with the symbols < or > , we use dotted lines to graph them. This is because we do not include the end point of the inequality.
Solve each inequality and graph the solution:
-0.5x>-10.
Note:
When we have an inequality with the symbols < or > , we use dotted lines to graph them. This is because we do not include the end point of the inequality.