Question

solve for n. 9(n - 16) ≤ 18

Explanation:

Step1: Divide both sides by 9

To isolate the term with \( n \), we divide both sides of the inequality \( 9(n - 16) \leq 18 \) by 9. Since 9 is positive, the direction of the inequality sign remains the same.

$$ \frac{9(n - 16)}{9} \leq \frac{18}{9} $$

Simplifying both sides, we get:

$$ n - 16 \leq 2 $$

Step2: Add 16 to both sides

To solve for \( n \), we add 16 to both sides of the inequality \( n - 16 \leq 2 \).

$$ n - 16 + 16 \leq 2 + 16 $$

Simplifying both sides, we find:

$$ n \leq 18 $$

Answer:

\( n \leq 18 \)