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Which choice best describes the following statement?

5. Which choice best describes the following statement? If x < 0 and y ≥ 0, then xy < 0.
A) always true
B) sometimes true, when y < 0
C) sometimes true, when y > 0
D) never true

Answer

Answer: A) always true

If x is negative and y is non-negative (y ≥ 0), then the product xy will always be negative or zero. However, since y is non-negative and x is negative, xy will be negative unless y is exactly zero. Therefore, the statement is always true when y > 0, and it is zero when y = 0, which does not contradict the statement.

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