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# x and y are integers such that |x|(y) + 9 < 0 and |y| ≤ 1.

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x and y are integers such that |x|(y) + 9 < 0 and |y| ≤ 1. [#permalink]  08 Aug 2018, 16:47
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Question Stats:

66% (01:28) correct 33% (01:29) wrong based on 74 sessions
x and y are integers such that $$|x|(y) + 9 < 0$$ and $$|y| ≤ 1$$.

 Quantity A Quantity B x -9

A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.

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[Reveal] Spoiler: OA

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Intern
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Re: x and y are integers such that |x|(y) + 9 < 0 and |y| ≤ 1. [#permalink]  11 Aug 2018, 12:23
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Here we can quickly find an answer, which would help during the actual test.

Let y = -1, so we get a negative and a positive term on the left side.

Then test x with a very large positive and a very large negative value:

x = 1000:

|1000|(-1) + 9 < 0

True

x = -1000

|-1000|(-1) + 9 < 0

True.

So x can be bigger or smaller than -9. So the answer is D.
Intern
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Re: x and y are integers such that |x|(y) + 9 < 0 and |y| ≤ 1. [#permalink]  21 Apr 2020, 21:30
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Romang67 wrote:
Here we can quickly find an answer, which would help during the actual test.

Let y = -1, so we get a negative and a positive term on the left side.

Then test x with a very large positive and a very large negative value:

x = 1000:

|1000|(-1) + 9 < 0

True

x = -1000

|-1000|(-1) + 9 < 0

True.

So x can be bigger or smaller than -9. So the answer is D.

Just like some questions where values like -1 , 0 , 1 can be used to solve, can very large positive and negative numbers be used like you mentioned above in similar questions, because this looks a fast and easy way
Re: x and y are integers such that |x|(y) + 9 < 0 and |y| ≤ 1.   [#permalink] 21 Apr 2020, 21:30
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