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QUESTION IMAGE

find the solution set of the inequality $8x - 8 \\leq -72$. $x$

Question

find the solution set of the inequality
$8x - 8 \leq -72$.
$x$

Explanation:

Step1: Add 8 to both sides

To isolate the term with \( x \), we add 8 to both sides of the inequality \( 8x - 8 \leq -72 \). This gives us \( 8x - 8 + 8 \leq -72 + 8 \), which simplifies to \( 8x \leq -64 \).

Step2: Divide both sides by 8

Next, we divide both sides of the inequality \( 8x \leq -64 \) by 8 to solve for \( x \). So, \( \frac{8x}{8} \leq \frac{-64}{8} \), which simplifies to \( x \leq -8 \).

Answer:

\( x \leq -8 \)