SOLUTION: how do I graph x + y <= 3

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Question 992284: how do I graph x + y <= 3
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


1. Graph the line , using a solid line because the original equality is inclusive of equality and points on this boundary line are therefore included in the solution set of the inequality.

2. Choose a point on the plane that is NOT on the boundary line. Since the line described in step 1 does not pass through the origin, the point (0,0) is a very good (read "Low impact arithmetic") choice for this point.

3. Substitute the coordinates of the point chosen in step 2 for and in the original inequality. If the result is a true statement, then shade in the half-plane on the side of the line that CONTAINS the chosen point. Otherwise, shade in the other side of the line.

John

My calculator said it, I believe it, that settles it