Question

-8x - 14 ≤ 18

Explanation:

Step1: Add 14 to both sides

To isolate the term with \( x \), we add 14 to both sides of the inequality. This gives us:
\( -8x - 14 + 14 \leq 18 + 14 \)
Simplifying both sides, we get:
\( -8x \leq 32 \)

Step2: Divide both sides by -8 (and reverse inequality)

When dividing an inequality by a negative number, we must reverse the inequality sign. So we divide both sides by -8:
\( \frac{-8x}{-8} \geq \frac{32}{-8} \)
Simplifying both sides, we find:
\( x \geq -4 \)

Answer:

\( x \geq -4 \)