SOLUTION: When graphing y<-6, should the region below the line y=-6 be shaded or should the region above the line y=-6 be shaded?

Question 717670: When graphing y<-6, should the region below the line y=-6 be shaded or should the region above the line y=-6 be shaded?
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

Since the boundary line does not go through the origin, use the origin, (0,0), as a test point. Substitute the coordinates of the test point into your original inequality. In this case, you would write 0 < -6. If that is a true statement, shade in the side of the line that CONTAINS the test point. If it is not a true statement, shade in the side of the line that does NOT CONTAIN the test point. In the event you are trying to evaluate where to shade a graph where the boundary line does pass through the origin, pick some other point that is NOT on the boundary line. I recommend something with small integer coefficients.

John

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