Question

Choose the correct solution and graph for the inequality.
-x/4 is less than or equal to 2

A. x is less than or equal to -8
B. x is less than or equal to 6
C. x is greater than or equal to 8
D. x is greater than or equal to -8

I forgot how to upload a screenshot, but these answers should be good enough. Thanks in advance.

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

Answer 2

Answer:

I think it is A. or D.

Step-by-step explanation:

A. less than or equal to -8

or D. x is greater than or equal to -8