Question

Which inequality has the same value for x as the inequality - 2x > -14

Question 3 options:

-7x < -49


3.5 > -0.5x


3x ≤ 21


35 > 5x

Answer 1

D

Explanation:

Solve all inequalities.

Given inequality:

`-2x>-14\ [\text{Divide by -2, this will change the sign of the inequality}]\\ \\x<7`

A.

`-7x<-49\ [\text{Divide by -7, this will change the sign of the inequality}]\\ \\x>7`

B.

`3.5>-0.5x\ [\text{Divide by -0.5, this will change the sign of the inequality}]\\ \\-7<x\\ \\x>-7`

C.

`3x\le 21\ [\text{Divide by 3}]\\ \\x\le 7`

D.

`35>5x\ [\text{Divide by 5}]\\ \\7>x\\ \\x<7`

As you can see inequality in option D has the same solution set as given inequality.