Step 1: Graph the linear equation: . Since the original relational operator is strictly less than, use a dashed line for this graph.
Step 2: Choose a point on the plane that is NOT on the line you just graphed. Since the line does not pass through the origin, the origin, is an outstanding choice for this step.
Step 3: Substitute the coordinates of the point chosen in step 2 into the original inequality. If the result is a true statement, shade the side of the line graphed in step 1 that contains the point chosen in step 2. Otherwise, shade the opposite side of the line.
John
My calculator said it, I believe it, that settles it
