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

1 Answer
Feb 1, 2017

Answer:

#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]}