Question

1. 9m + 16 > -20

Explanation:

Step1: Subtract 16 from both sides

To isolate the term with \( m \), we subtract 16 from both sides of the inequality \( 9m + 16 > -20 \). This gives us \( 9m + 16 - 16 > -20 - 16 \), which simplifies to \( 9m > -36 \).

Step2: Divide both sides by 9

To solve for \( m \), we divide both sides of the inequality \( 9m > -36 \) by 9. Since 9 is a positive number, the direction of the inequality sign remains the same. So we have \( \frac{9m}{9} > \frac{-36}{9} \), which simplifies to \( m > -4 \).

Answer:

\( m > -4 \)