Question

solve for n. 16(n + 36) ≥ 64

Explanation:

Step1: Divide both sides by 16

To isolate the term with \( n \), we divide both sides of the inequality \( 16(n + 36) \geq 64 \) by 16. This gives us \( \frac{16(n + 36)}{16} \geq \frac{64}{16} \), which simplifies to \( n + 36 \geq 4 \).

Step2: Subtract 36 from both sides

To solve for \( n \), we subtract 36 from both sides of the inequality \( n + 36 \geq 4 \). So, \( n + 36 - 36 \geq 4 - 36 \), which simplifies to \( n \geq -32 \).

Answer:

\( n \geq -32 \)