Question

solve and graph the inequality. 77 ≤ 5 + 8n a) n ≥ -20 b) n ≥ -49 c) n > -20 d) n ≥ 9

Explanation:

Step1: Subtract 5 from both sides

To isolate the term with \( n \), we subtract 5 from both sides of the inequality \( 77 \leq 5 + 8n \). This gives us \( 77 - 5 \leq 8n \), which simplifies to \( 72 \leq 8n \).

Step2: Divide both sides by 8

To solve for \( n \), we divide both sides of the inequality \( 72 \leq 8n \) by 8. So, \( \frac{72}{8} \leq n \), which simplifies to \( 9 \leq n \) or \( n \geq 9 \).

Answer:

D. \( n \geq 9 \)