Common Core End-of-Course Assessment - Page 793: 8

H

In order to determine the validity of each statement, let’s consider counterexamples. We see the point (4,0) on the graph. At this point, x is not 2 less than y, so we know F is incorrect. The y value at this point is 4 less than (not 4 greater than) the x value, so we know that G is also false. This leaves us with H and I. At the point (4,0), the x-value (which is positive) is greater than the y-value. Thus, we know that H is the correct answer.