Question

Choose the correct solution and graph for the inequality.

Answer 1

D. x is greater than or equal to -8

Explanation:

The inequality given by the problem is:

$-\frac{x}{4} \leq 2$

In order to solve it, we must do the following steps:

- Multiply by 4 on both sides of the inequality:

$-\frac{x}{4} \cdot 4 \leq 2 \cdot 4\\-x \leq 8$

- Change the sign of both sides: when doing this step, we must reverse the sign of the inequality:

$-x \leq 8\\x \geq -8$

So, the correct option is

D. x is greater than or equal to -8