How do you graph the inequality #y> -2x+5 #?

1 Answer
Mar 23, 2016

Graph the line #y = -2x+5#. This line passes through (0, 5) and (#(5/2, 0)#. Shade the region above this line. Enter # y > - 2x+5# therein.

Explanation:

For (x, y) on this line, # y = -2x+5#.

For points above this line (in the positive y-direction), # y > - 2x+5#.

For points below this line (in the negative y-direction), # y < - 2x+5#.