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|x| < 1 and y > 0

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|x| < 1 and y > 0 [#permalink] New post 08 Aug 2018, 16:40
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Question Stats:

60% (00:52) correct 39% (00:33) wrong based on 58 sessions
\(|x| < 1\) and \(y > 0\)

Quantity A
Quantity B
|x| + y
xy


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.

Kudos for R.A.E
[Reveal] Spoiler: OA

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Re: |x| < 1 and y > 0 [#permalink] New post 09 Aug 2018, 02:09
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Carcass wrote:
\(|x| < 1\) and \(y > 0\)

Quantity A
Quantity B
|x| + y
xy


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.

Kudos for R.A.E


As you can see modulus of x which is |x| will be positive number so |x| + y will result in positive number. On the other side , xy is without modulus which will make the product negative and hence answer is Option A
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Re: |x| < 1 and y > 0 [#permalink] New post 15 Aug 2018, 19:39
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deekochhar wrote:
Carcass wrote:
\(|x| < 1\) and \(y > 0\)

Quantity A
Quantity B
|x| + y
xy


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.

Kudos for R.A.E


As you can see modulus of x which is |x| will be positive number so |x| + y will result in positive number. On the other side , xy is without modulus which will make the product negative and hence answer is Option A


Adding another case,
x<1 not x<0 therefore x can be positive, however even in that case 0.5 + 100 > 0.5*100 therefore Solution remains A
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Re: |x| < 1 and y > 0 [#permalink] New post 24 Sep 2018, 02:56
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putting -0.1 in place of x and 0.1 in place of y will lead to correct answer, without putting values solving such questions becomes difficult
Re: |x| < 1 and y > 0   [#permalink] 24 Sep 2018, 02:56
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