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This problem trains for: SAT-I, AMC-8, GMAT, AMC-10.

Find the integers *x* and *y* such that:

What is the absolute value of the product of the smallest value you found for *x* and the largest value you found for *y*?

By extracting the square root, we obtain absolute values of the expressions:

Since absolute values cannot be negative numbers, we have the following possibilities:

or

or

or

The smallest value for *x* is *-5*. The largest value for *y* is *6*. The required product is *-30* and its absolute value is *30*.