Solve the inequality for $$ u $$. $$ -\frac{8}{9} \geq u-5 $$ Simplify your answer as much as possible.

Question

UpStudy AI · Accepted Answer

1. Start with the inequality:  
   $$
   -\frac{8}{9} \geq u - 5
   $$

2. Add $$5$$ to both sides to isolate $$u$$:  
   $$
   -\frac{8}{9} + 5 \geq u
   $$

3. Rewrite $$5$$ with a denominator of $$9$$:  
   $$
   -\frac{8}{9} + \frac{45}{9} \geq u
   $$

4. Combine the fractions:  
   $$
   \frac{37}{9} \geq u
   $$

5. Rewrite the inequality in standard form:  
   $$
   u \leq \frac{37}{9}
   $$

The solution to the inequality is:  
$$
u \leq \frac{37}{9}
$$
$$ u \leq \frac{37}{9} $$

Solve the inequality for \( u \). \[ -\frac{8}{9} \geq u-5 \] Simplify your answer as much as possible.