# How do you solve and graph y - 2 > -3?

Jul 23, 2015

$y > - 1$
$\textcolor{w h i t e}{\text{XXXX}}$(see below for graphs)

#### Explanation:

Given an inequality, the following operations can be performed to both sides of the inequality without effecting the inequality relation:

3. Multiply by any amount $> 0$
4. Divided by any amount $> 0$
Given $y - 2 > - 3$
We can add $2$ to both sides, to get:
$\textcolor{w h i t e}{\text{XXXX}}$$y > - 1$
Since this is a relationship involving a single variable, it could be graphed on a number line (top image below); notice the hollow circle which indicates that the value $\left(- 1\right)$ is not included in the solution set.
You could also graph this relationship on the Cartesian plane (bottom image below); again, notice the broken line on the left indicates that $\left(- 1\right)$ is not to be included in the solution set.