# How do you solve -6v+8> -14v-28 and graph the solution on a number line?

Feb 26, 2017

$\text{ } v > - 4.5$

#### Explanation:

Solve the inequality in the same way as an equation, unless you multiply or divide by a negative value, in which case the inequality sign changes around.

$- 6 v + 8 > - 14 v - 28$

$- 6 v + 14 v > - 28 - 8$

$\text{ } 8 v > - 36$
$\textcolor{w h i t e}{\ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots} \frac{- 36}{8} = \frac{- 18}{4} = - 4 \frac{1}{2}$
$\text{ } v > - 4.5$

On a number line graph we would have an open circle on $- 4.5$ to indicate that it is not included in the solution, and draw and arrow to the right to show the possible solutions.