Question

8(x - 4) ≥ 40

Explanation:

Step1: Divide both sides by 8

To isolate the term with \(x\), we divide both sides of the inequality \(8(x - 4)\geq40\) by 8. Since 8 is positive, the direction of the inequality sign remains the same.

$$ \frac{8(x - 4)}{8}\geq\frac{40}{8} $$

Simplifying both sides, we get:

$$ x - 4\geq5 $$

Step2: Add 4 to both sides

To solve for \(x\), we add 4 to both sides of the inequality \(x - 4\geq5\).

$$ x - 4 + 4\geq5 + 4 $$

Simplifying both sides, we obtain:

$$ x\geq9 $$

Answer:

\(x\geq9\)