Home > Algebra > Linear Inequalities in Two Variables

How do you graph the inequality #y> x + 9#?

Answer 1

See below

First, graph it as a regular line, #y=x+9#. Then, in order to find out which side you should shade, you should plug in a point. Let's use #(0,0)# to make things easier. Plugging in these coordinates for #y# and #x# back into the original inequality would yield the equation #0>0+9 = 0>9#. This is clearly not true, so you would shade the side that does NOT include #(0,0)#. graph{y>x+9 [-12.5, 7.5, -3.36, 6.64]}

By signing up, you agree to our Terms of Service and Privacy Policy

Answer 2

Jameson Allen

To graph the inequality (y > x + 9), plot the line (y = x + 9) as a dashed line since the inequality is strictly greater than. Then, shade the region above the line to represent the solution set.

By signing up, you agree to our Terms of Service and Privacy Policy

Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

How do you graph the inequality #y&gt; x + 9#?

How do you graph the inequality #y> x + 9#?