Question

solve $-2(x + 5) \geq -6$.
a) $x \leq -2$
b) $x \geq -2$
c) $x \leq 8$
d) $x \geq 8$

Explanation:

Step1: Expand left-hand side

$-2(x + 5) = -2x - 10$
Inequality becomes: $-2x - 10 \geq -6$

Step2: Isolate variable term

Add 10 to both sides:
$-2x - 10 + 10 \geq -6 + 10$
$-2x \geq 4$

Step3: Solve for x, reverse inequality

Divide by -2 (reverse inequality sign):
$\frac{-2x}{-2} \leq \frac{4}{-2}$
$x \leq -2$

Answer:

A) $x \leq -2$