Question

Question was provided via image upload.

Explanation:

Step1: Subtract 20 from both sides

To isolate the term with \( m \), we subtract 20 from both sides of the inequality \( 18 < \frac{m}{2}+20 \).
\( 18 - 20<\frac{m}{2}+20 - 20 \)
\( - 2<\frac{m}{2} \)

Step2: Multiply both sides by 2

To solve for \( m \), we multiply both sides of the inequality \( - 2<\frac{m}{2} \) by 2.
\( -2\times2<\frac{m}{2}\times2 \)
\( - 4 < m \) or \( m>-4 \)

Answer:

The solution to the inequality is \( m > - 4 \). To graph this, we draw an open circle at \( - 4 \) (since the inequality is strict, \( m
eq - 4 \)) and draw a ray pointing to the right (towards positive infinity) from \( - 4 \).