Question

solve the inequality for x. 3x + 8 ≤ 59 simplify your answer as much as possible.

Explanation:

Step1: Subtract 8 from both sides

To isolate the term with \( x \), we subtract 8 from both sides of the inequality \( 3x + 8 \leq 59 \). This gives us \( 3x + 8 - 8 \leq 59 - 8 \), which simplifies to \( 3x \leq 51 \).

Step2: Divide both sides by 3

To solve for \( x \), we divide both sides of the inequality \( 3x \leq 51 \) by 3. This gives us \( \frac{3x}{3} \leq \frac{51}{3} \), which simplifies to \( x \leq 17 \).

Answer:

\( x \leq 17 \)