Question

solve for k.
k - 2 ≥ 12 or -5k + 4 > 19
write your answer as a compound inequality with integers.

Explanation:

Step1: Solve first inequality

Add 2 to both sides:
$k - 2 + 2 \geq 12 + 2$
$k \geq 14$

Step2: Solve second inequality

Subtract 4 from both sides:
$-5k + 4 - 4 > 19 - 4$
$-5k > 15$
Divide by -5 (reverse inequality):
$\frac{-5k}{-5} < \frac{15}{-5}$
$k < -3$

Answer:

$k \geq 14$ or $k < -3$