Question

solve for k.
0 geq \frac{k - 17}{4} > -5
write your answer as a compound inequality with integers.

Explanation:

Step1: Multiply all parts by 4

$$0 \times 4 \geq k - 17 > -5 \times 4$$
$$0 \geq k - 17 > -20$$

Step2: Add 17 to all parts

$$0 + 17 \geq k > -20 + 17$$
$$17 \geq k > -3$$

Step3: Rearrange for standard form

$$-3 < k \leq 17$$

Answer:

$-3 < k \leq 17$