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Bunuel
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Bunuel
If 0 < x < 7 and y < 9, then the lowest possible value for xy is

A. between 60 and 70
B. between 0 and 60
C. 0
D. between 0 and -70
E. less than -70

0 < x < 7 , here the minimum value of x will be 1

y < 9 , minimum value will be any extreme number to the left (In the number line ) of 9 , which includes 0 and -ve numbers...

\(+ve * -ve = -ve number\)

So, the minimum value of xy will be a -ve integer...

Thus, the correct answer will be (E) less than -70
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Hi All,

We're told that 0 < X < 9 and Y < 9. We're asked for the SMALLEST possible value of (X)(Y). This question is ultimately about Number Properties, so we can answer it in a number of different ways - including by TESTing VALUES or logic.

We know that X must be POSITIVE and Y can be positive (but less than 9), 0 or ANY negative. To make the product (X)(Y) as SMALL as possible, Y would have to be AS NEGATIVE AS POSSIBLE. Multiplying that type of extreme negative value by any positive value would lead to another extreme negative value (re: negative infinity).

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