# How do you solve -55<=-5w?

Feb 4, 2017

First, divide each side of the inequality by $\textcolor{b l u e}{- 5}$ 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:

$\frac{- 55}{\textcolor{b l u e}{- 5}} \textcolor{red}{\ge} \frac{- 5 w}{\textcolor{b l u e}{- 5}}$

$11 \textcolor{red}{\ge} \frac{\textcolor{b l u e}{\cancel{\textcolor{b l a c k}{- 5}}} w}{\cancel{\textcolor{b l u e}{- 5}}}$

$11 \ge w$

To solve in terms of $w$ we need to reverse or "flip" the entire inequality:

$w \le 11$