Let's solve the given inequality step-by-step:
Given:
[tex]\[ 9x > -36 \][/tex]
To isolate [tex]\( x \)[/tex], we need to divide both sides of the inequality by 9:
[tex]\[ \frac{9x}{9} > \frac{-36}{9} \][/tex]
This simplifies to:
[tex]\[ x > -4 \][/tex]
The solution set includes all [tex]\( x \)[/tex] values that are greater than -4.
Thus, the correct solution set is:
[tex]\[ \{ x \mid x > -4 \} \][/tex]
