How do you graph y>x-4?

Aug 18, 2017

See a solution process below:

Explanation:

First, change the inequality to an equality and solve for two points on the line:

For $x = 0$

$y = 0 - 4$

$y = - 4$ or $\left(0 , - 4\right)$

For $x = 4$

$y = 4 - 4$

$y = 0$ or $\left(4 , 0\right)$

We can now plot the two points on the grid.

graph{(x^2+(y+4)^2-0.05)((x-4)^2+y^2-0.05)=0 [-15, 15, -7.5, 7.5]}

We can now draw a line through these two points to create the inequality boundary. The line will be a dashed line because the inequality has just a "greater than" clause and does not have a "or equal to" clause. Therefore the line is not contained in the solution set.

We will also shade to the left of the line:

graph{y-x+4>0 [-15, 15, -7.5, 7.5]}