How do you graph the inequality # x + y ≥ 5# and #x – 2y> 8#?

1 Answer
Mar 23, 2018

Plot the line and use a point determine which side is to be shaded


To graph any inequality, we must first draw the line it forms.
An inequality is the the shaded portion and represents a set of values.
Take the first inequality; #x+y>=5#
First draw the line #x+y=5#

graph{5-x [-10, 10, -5, 5]}

It looks like this. Now the inequality will appear as this line with one side shaded. To determine which side is to be shaded, take a simple point #(0,0)#. Does this satisfy the inequality? No it does not. So the side with #(0,0)# will not be shaded and the other side will be. I am unable to insert the correct graph for this but that is how it will look

When the inequality contains #>=# or #<=#, the line will appear as a normal line but if it contains #<# or #># the line will be dotted. This means that the points on the line are not included.

Now that you know how to do it, give the second one a shot :)