Question

solve for u.
$-3 leq \frac{u - 5}{4} leq 2$
write your answer as a compound inequality with integers.

Explanation:

Step1: Multiply all parts by 4

$$-3 \times 4 \leq \frac{u-5}{4} \times 4 \leq 2 \times 4$$
$$-12 \leq u-5 \leq 8$$

Step2: Add 5 to all parts

$$-12 + 5 \leq u-5 + 5 \leq 8 + 5$$
$$-7 \leq u \leq 13$$

Answer:

$-7 \leq u \leq 13$