Question
Solve each inequality and graph the solution :
0.25x>0.5
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>2
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 0.25 x greater than 0.5 end cell row cell x greater than fraction numerator 0.5 over denominator 0.25 end fraction end cell row cell x greater than 50 over 25 end cell row cell x greater than 2 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.inequality.
Related Questions to study
A bricklayer uses the formula
to estimate the number of bricks, n , needed to build a wall that is l feet long and h feet high. Which of the following correctly expresses l in terms of n and h ?
A bricklayer uses the formula
to estimate the number of bricks, n , needed to build a wall that is l feet long and h feet high. Which of the following correctly expresses l in terms of n and h ?
Solve each inequality and graph the solution :
-3x>15
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 :
-3x>15
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.
A school district is forming a committee to discuss plans for the construction of a new high school. Of those invited to join the committee,15
are parents of students,45
are teachers from the current high school, 25% are school and district administrators, and the remaining 6 individuals are students. How many more teachers were invited to join the committee than school and district administrators?
A school district is forming a committee to discuss plans for the construction of a new high school. Of those invited to join the committee,15
are parents of students,45
are teachers from the current high school, 25% are school and district administrators, and the remaining 6 individuals are students. How many more teachers were invited to join the committee than school and district administrators?
If
and
what is the value of 2x - 3 ?
A) 21
B) 15
C) 12
D) 10
Note:
We can also solve this question graphically, The point of intersection of graphs of equationswill give us the value of x. And then by putting this value we can easily get the answer.
If
and
what is the value of 2x - 3 ?
A) 21
B) 15
C) 12
D) 10
Note:
We can also solve this question graphically, The point of intersection of graphs of equationswill give us the value of x. And then by putting this value we can easily get the answer.
Solve each inequality and graph the solution :
6x≥-0.3.
Note:
Whenever we use the symbol ≤ or ≥ , we use the endpoint as well. So, we use complete line to graph the solution.
Solve each inequality and graph the solution :
6x≥-0.3.
Note:
Whenever we use the symbol ≤ or ≥ , we use the endpoint as well. So, we use complete line to graph the solution.
MN, NQ and NQ are midsegments of △ ABC. Answer the following questions.
iii) NQ || __
![](data:image/png;base64,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)
MN, NQ and NQ are midsegments of △ ABC. Answer the following questions.
iii) NQ || __
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)
Solve each inequality and graph the solution :
-0.3x<6.
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 :
-0.3x<6.
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.
MN, NQ and NQ are midsegments of △ ABC. Answer the following questions.
ii) BC || __
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)
MN, NQ and NQ are midsegments of △ ABC. Answer the following questions.
ii) BC || __
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)
Solve each inequality and graph the solution :
5x+15≤-10
Note:
Whenever we use the symbol , we use the endpoint as well. So, we use complete line to graph the solution.
Solve each inequality and graph the solution :
5x+15≤-10
Note:
Whenever we use the symbol , we use the endpoint as well. So, we use complete line to graph the solution.
MN, NQ and NQ are midsegments of △ ABC. Answer the following questions.
i) MQ || __
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)
MN, NQ and NQ are midsegments of △ ABC. Answer the following questions.
i) MQ || __
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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.