Question

1. 8(x - 6) ≤ -104

Explanation:

Step1: Divide both sides by 8

To isolate the term with \( x \), we divide both sides of the inequality \( 8(x - 6) \leq -104 \) by 8. This gives us \( \frac{8(x - 6)}{8} \leq \frac{-104}{8} \), which simplifies to \( x - 6 \leq -13 \).

Step2: Add 6 to both sides

To solve for \( x \), we add 6 to both sides of the inequality \( x - 6 \leq -13 \). This results in \( x - 6 + 6 \leq -13 + 6 \), which simplifies to \( x \leq -7 \).

Answer:

\( x \leq -7 \)