# How do you solve the inequality -6v-3> -33?

Jun 2, 2016

$v < 5$

#### Explanation:

Given,

$- 6 v - 3 > - 33$

Add $3$ to both sides.

$- 6 v - 3 \textcolor{w h i t e}{i} \textcolor{red}{+ 3} > - 33 \textcolor{w h i t e}{i} \textcolor{red}{+ 3}$

$- 6 v > - 30$

Divide both sides by $- 6$.

$\textcolor{red}{\frac{\textcolor{b l a c k}{- 6 v}}{- 6}} > \textcolor{red}{\frac{\textcolor{b l a c k}{- 30}}{- 6}}$

$v > 5$

Since you divided the inequality by a negative number, you must flip the sign.

$\textcolor{g r e e n}{| \overline{\underline{\textcolor{w h i t e}{\frac{a}{a}} \textcolor{b l a c k}{v < 5} \textcolor{w h i t e}{\frac{a}{a}} |}}}$