Davon Irwin

2022-06-26

How do you solve $-55\le -5w$ ?

popman14ee

Expert

Step 1
First, divide each side of the inequality by $-5$ to solve for w while keeping the inequality balanced. However, whenever dividing or multiplying an inequality by a negative term we must reverse the inequality symbol:
$\frac{-55}{-5}\ge \frac{-5w}{-5}$
$11\ge \frac{\overline{)-5}w}{\overline{)-5}}$
$11\ge w$
To solve in terms of w we need to reverse or "flip" the entire inequality:
$w\le 11$

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