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If X is less than 0, and Y is greater than 0, what can be inferred about the product XY?

X is greater than Y

X + Y is greater than 0

XY is less than 0

When evaluating the product of two numbers, it is essential to consider their signs. In this scenario, we know that X is less than 0 (negative) and Y is greater than 0 (positive).

When you multiply a negative number by a positive number, the result is always negative. This holds true regardless of the specific values of X and Y, as long as their signs remain consistent. Since X is negative and Y is positive, the product XY must therefore be less than 0.

This reasoning underscores why the correct inference about the product XY is that it is less than 0.

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XY is greater than 0

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