# How do you solve -11> -c/11?

Jan 16, 2017

See entire solution process below:

#### Explanation:

First, multiply each side of the inequality by $\textcolor{b l u e}{- 11}$ to solve for $c$ while keeping the inequality balanced.

However, whenever multiplying or dividing an inequality by a negative term we must reverse the inequality symbol.

$- 11 > - \frac{c}{11}$

$\textcolor{b l u e}{- 11} \times - 11 \textcolor{red}{<} \textcolor{b l u e}{- 11} \times - \frac{c}{11}$

$121 \textcolor{red}{<} \cancel{\textcolor{b l u e}{- 11}} \times \frac{c}{\textcolor{b l u e}{\cancel{\textcolor{b l a c k}{- 11}}}}$

$121 < c$

Finally, to state the solution in terms of $x$ we can reverse or "flip" the inequality:

$c > 121$