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Question:

If x+y >0 when x>y , which of the following can be true?

A
x = 3 and y = 0

Explaination

First, test each expression to see which satisfies the condition x>y. This condition is met for all the answer choices except x = -4 and y = -3 and x = -3 and y = 0, so these need not be considered further. Next, test the remaining choices to see which satisfy the inequality x + y> 0. It can be seen that this inequality holds for choice x = 3 and y = 0, but not for choice x = 3 and y = -3, since x + y = 3 + (-3) = 0. In this case the sum x + y is not greater than 0.

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