Question

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

Answer 1

`y > -36`

Explanation:

First, make the y term positive:

Either: `-y < 36" "rarr" " -36< y" "rarr" "y > -36`

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

`-y < 36" "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]}