Question

nequality and graph the solution on the line provided.
$-5 + 8x \leq -29$

Explanation:

Step1: Add 5 to both sides

To isolate the term with \( x \), we add 5 to both sides of the inequality. This gives us \( -5 + 8x + 5 \leq -29 + 5 \), which simplifies to \( 8x \leq -24 \).

Step2: Divide by 8

Now we divide both sides of the inequality \( 8x \leq -24 \) by 8. Since 8 is positive, the direction of the inequality sign remains the same. So we have \( \frac{8x}{8} \leq \frac{-24}{8} \), which simplifies to \( x \leq -3 \).

Answer:

The solution to the inequality \( -5 + 8x \leq -29 \) is \( x \leq -3 \).