Solve 8x > 24.

A. х > 3
B. х <3
C. х > 16
D. х ≤ 16

7 answers

To solve the inequality 8x > 24, we need to divide both sides of the inequality by 8. This gives us:

x > 3

Therefore, the correct answer is A. х > 3.
Solve x/13 < 4/5.

A. x < 4/65
B. x < 10 2/5
C. x<13 4/5
D. x > 52/5
To solve the inequality x/13 < 4/5, we need to multiply both sides of the inequality by 13. This gives us:

x < (13 * 4)/5

Simplifying further:

x < 52/5

Therefore, the correct answer is D. x > 52/5.
Solve the inequality 4x > 10. Which of the following graphs shows the solution?

(line graph goes from -10 to 10)

A. empty circle at 6 and arrow points this way <----

B. empty circle at the middle of 2 and 3 and arrow point this way <----

C. empty circle at the middle of 2 and 3 and arrow pointing this way ---->

D. empty circle at 6 points this way ---->
To solve the inequality 4x > 10, we need to divide both sides of the inequality by 4. This gives us:

x > 10/4

Simplifying further:

x > 5/2

The correct graph would show an empty circle at 5/2 (or 2.5) and an arrow pointing to the right, indicating that the solution is all values greater than 2.5.

Therefore, the correct answer is C. empty circle at the middle of 2 and 3 and arrow pointing this way ---->.
Nora solved an inequality and graphed the solution on the number line. Which of the following inequalities did she solve?

(line graph goes from -10 to 10)

empty circle at 1.75 and a arrow pointing this way <----

A. 1.75x < 3.5
B. 4x > 7
C. 6x < 10.5
D 8x > 14
Nora solved an inequality and graphed the solution on the number line. Which of the following inequalities did she solve?

(line graph goes from -10 to 10)

empty circle at 1.75 and a arrow pointing this way <----

A. 1.75x < 3.5
B. 4x > 7
C. 6x < 10.5
D 8x > 14