# How do you solve and graph -y<36?

Feb 1, 2017

$y > - 36$

#### Explanation:

First, make the y term positive:

Either: $- y < 36 \text{ "rarr" " -36< y" "rarr" } y > - 36$

Or, divide by $- 1$, but change the inequality sign around.

$- y < 36 \text{ "rarr" } y > - 36$

To draw the graph: treat it as $y = - 36$

This will be a horizontal line through $- 36$ on the $y$-axis

However, because it is an inequality and y has to be MORE than -36, but not equal to -36, we use a broken or dashed line.

Shading the area ABOVE the line shows all the other possible solutions for $y$.

graph{y > -36 [-81.7, 78.3, -67.76, 12.24]}