**Quote:**

Mistake: the answer is a range of *xy* > 14 given that *y* > 6, 6 is not included so the minimum for *y* has to be 7 not 6.

That would be true, IF

*y* was said to be an integer. However, the question statement does NOT specify this, so it is assumed that

*x* and *y* are real numbers. E.g.

*y* can be 6.000001 or 6 3/4, etc.

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I also would like to stress the point that you need to be more accurate, when ranges allow values of different signs. For example, if we have ranges

-4 <

*x* < 4 and -2 <

*y* < 3

we try out all combinations of the boundary values:

(-4) × (-2) = 8

(-4) × 3 = -12

4 × (-2) = -8

4 × 3 = 12

Then we take the minimum and the maximum results:

-12 <

*xy* < 12