(05.05) Which inequality matches the graph? (2 points)

Choice C  

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Explanation:

The boundary line is solid, so that means we'll be dealing with "or equal to" as part of the inequality sign. The answer is between choice A and choice C because of this.

Note how the point (0,0) is not in the shaded region. This must mean that plugging x = 0 and y = 0 into the answer will lead to a false statement.

If we plug x = 0 and y = 0 into choice A, then we get...

Which is a true statement, implying that (0,0) is in the shaded region. However, we're after a false statement, so we can rule out choice A.

The answer must be choice C

Let's plug (x,y) = (0,0) into choice C

That is false because 0 is not equal to 7, nor is it larger than 7.

This helps confirm that choice C is the answer.