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:

\(x\geq9\)