Question

solve the inequality for x.
-5x - 2 ≥ 28
simplify your answer as much as possible.

Explanation:

Step1: Add 2 to both sides

To isolate the term with \( x \), we add 2 to both sides of the inequality. This gives us:
\( -5x - 2 + 2 \geq 28 + 2 \)
Simplifying both sides, we get:
\( -5x \geq 30 \)

Step2: Divide by -5 (reverse inequality)

Now, we divide both sides by -5. When dividing or multiplying an inequality by a negative number, the direction of the inequality sign reverses. So we have:
\( \frac{-5x}{-5} \leq \frac{30}{-5} \)
Simplifying both sides, we get:
\( x \leq -6 \)

Answer:

\( x \leq -6 \)