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Shading Boundary Line Regions

2.11.4 Shading Boundary Line Regions

2.11.4 • Shading Boundary Line Regions

Cool Down

1.

The line in each shaded graph represents y=2xy=2x. Which graph including the shaded region represents y>2xy>2x?

A. Graph of an inequality on the coordinate plane.
B. Graph of an inequality on the coordinate plane.
C. Graph of an inequality on the coordinate plane.
D. Graph of an inequality on the coordinate plane.

Compare your answer:

Graph C

2.

Explain your reasons for choosing that graph.

Compare your answer:

Compare your answer: Your answer may vary, but here is a sample. I substituted the coordinates of a few points above the line into the inequality and found that they are all not solutions. The point (0,0)(0,0), which is on the line, is also not a solution. I concluded that the points on and above the line are not solutions, and the region below the line represents the solutions.