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
