Question
Solve each inequality and graph the solution :
-3x>15
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<-5
Step 1 of 2:
Rearrange and solve the inequality;
Step 2 of 2:
Graph the solution of the inequality;
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
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 equations
will 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 || __
MN, NQ and NQ are midsegments of △ ABC. Answer the following questions.
iii) NQ || __
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 || __
MN, NQ and NQ are midsegments of △ ABC. Answer the following questions.
ii) BC || __
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 || __
MN, NQ and NQ are midsegments of △ ABC. Answer the following questions.
i) MQ || __
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.
In △ ABC, AB = 24, BC = 36, AC = 38
Find MN, NQ, and MQ.
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.
