Answered

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Solve the inequality below.

[tex]\[ 9u + 72 \ \textgreater \ 54 \][/tex]

Sagot :

GinnyAnswer
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]
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