How do you graph y <x and x>5 on the axes below?

1 Answer
Somebody N.
Sep 30, 2017

See below.

Explanation:

First plot the line #y=x#. This will give you one of the boundary lines. Remember to use a dashed line as this is a less than inequality and not a less than or equal to inequality.

Plot the line #x=5#. This will give you another boundary line. As before use a dashed line, because this is a greater than and not a greater than or equal to.

Test values on either side of each line to determine what region is shaded.

For #y < x#, if #x = 4#, #y < x# below the line #y=x#

For #x>5# , if #x=6#, to right of line #x=5#

To satisfy both conditions.

#x > 5# and #y < x#

if #x=6# and #y = 2#

This is the region below the line #y=x# and to the right of the line #x=5#. This is shown as the grey region on the graph.

Graph of #y < x , x > 5#:

enter image source here

This can seem a bit confusing. It is generally best practice in a case like this to plot the line of each inequality and determine the regions by examining the graph.

Related questions
See all questions in Linear Inequalities in Two Variables
Impact of this question
7424 views around the world
You can reuse this answer
Creative Commons License