how to graph y<x

Question

How do i graph the inequality y<x and graph it.

Answer 1

Start by graphing y=x which is a line inclined to both axes by 45° and passing through the origin.

y<x is the entire region below the line, not including the line itself. On a graph this is usually shown by shading this whole region (within the limits of the page). The line is normally drawn as a broken or dotted line to indicate that points on the line are not included in the inequality.