To solve the inequality [tex]\( 9u + 72 > 54 \)[/tex], follow these steps:
1. Isolate the term involving [tex]\( u \)[/tex]:
To do this, subtract 72 from both sides of the inequality:
[tex]\[
9u + 72 - 72 > 54 - 72
\][/tex]
This simplifies to:
[tex]\[
9u > -18
\][/tex]
2. Solve for [tex]\( u \)[/tex]:
Next, divide both sides of the inequality by 9 to isolate [tex]\( u \)[/tex]:
[tex]\[
\frac{9u}{9} > \frac{-18}{9}
\][/tex]
Simplifying this, we get:
[tex]\[
u > -2
\][/tex]
Therefore, the solution to the inequality [tex]\( 9u + 72 > 54 \)[/tex] is:
[tex]\[
u > -2
\][/tex]
