To solve the inequality \(-9 - 6u \geq 21\), we can follow these steps:
-
Add 9 to both sides:
\[ -6u \geq 21 + 9 \] \[ -6u \geq 30 \]
-
Divide both sides by -6. Remember that when you divide or multiply an inequality by a negative number, you must flip the inequality sign:
\[ u \leq \frac{30}{-6} \] \[ u \leq -5 \]
The simplified answer is: \[ u \leq -5 \]