Question

solve the inequality for u. -1 ≤ -\frac{1}{9}u + 3. simplify your answer as much as possible.

Explanation:

Step1: Subtract 3 from both sides

$-1 - 3\leq-\frac{1}{9}u+3 - 3$
$-4\leq-\frac{1}{9}u$

Step2: Multiply both sides by -9 and reverse the inequality sign

When multiplying or dividing an inequality by a negative number, the inequality sign flips.
$-4\times(-9)\geq-\frac{1}{9}u\times(-9)$
$36\geq u$

Answer:

$u\leq36$