Question
Solve each inequality and graph the solution:
-0.5x>-10.
Hint:
Linear inequalities are expressions where any two values are compared by the inequality symbols<,>,≤&≥ . When we divide or multiply an inequality by a negative number, the direction of the symbol changes.
We are asked to solve the inequality and graph it.
The correct answer is: x<20
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 negative 0.5 x greater than negative 10 end cell row cell x less than fraction numerator negative 10 over denominator negative 0.5 end fraction end cell row cell x less than fraction numerator negative 100 over denominator negative 5 end fraction end cell row cell x less than 20 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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)
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.
Related Questions to study
Find out the simple interest on Rs. 7500 for 2 ½ years at 15 % per annum. Also find the amount
Find out the simple interest on Rs. 7500 for 2 ½ years at 15 % per annum. Also find the amount
Find x if MN is the midsegment of △ ABC.
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)
Find x if MN is the midsegment of △ ABC.
![](data:image/png;base64,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)
QUESTION 12: A square has vertices (0, 0), (m, 0), and (0, m). Find the fourth
vertex.
QUESTION 12: A square has vertices (0, 0), (m, 0), and (0, m). Find the fourth
vertex.
Solve each inequality and graph the solution :
x+9>15.
Note:
When we have an inequality with the symbols , 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 :
x+9>15.
Note:
When we have an inequality with the symbols , we use dotted lines to graph them. This is because we do not include the end point of the inequality.
How is the solution to -4(2x-3)>36 similar to and different from the solution-4(2x-3)=36 .
Note:
The number of solutions for an inequality can be infinity. Whereas, a linear equation has only a maximum of one solution.
How is the solution to -4(2x-3)>36 similar to and different from the solution-4(2x-3)=36 .
Note:
The number of solutions for an inequality can be infinity. Whereas, a linear equation has only a maximum of one solution.