solve the inequality -2z - 3 ≤ 5.

Explanation:

Step1: Add 3 to both sides

$-2z-3 + 3\leq5 + 3$ $-2z\leq8$

Step2: Divide both sides by -2 and reverse the inequality sign

$\frac{-2z}{-2}\geq\frac{8}{-2}$ $z\geq - 4$

Answer:

$z\geq - 4$