# How do you graph the system x>5 and y<=4?

Aug 26, 2015

See the explanation.

#### Explanation:

$x > 5$ looks like this:

graph{x > 5 [-4.585, 17.915, -4.465, 6.785]}

$y \le 4$ look like this:

graph{y <=4 [-5.99, 19.32, -5.17, 7.49]}

The conjunction ("and") requires both to be true, so we need the part of the plane where these overlap. That is: we need the part that is shaded on both graphs:

(I had to use a different graphing utility, so the colors are different and you cannot scroll this graph.)