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# |x| < 1 and y > 0

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Founder
Joined: 18 Apr 2015
Posts: 13613
Followers: 301

Kudos [?]: 3506 [1] , given: 12543

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

64% (00:57) correct 35% (00:44) wrong based on 128 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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Intern
Joined: 08 Aug 2018
Posts: 2
Followers: 0

Kudos [?]: 4 [2] , given: 0

Re: |x| < 1 and y > 0 [#permalink]  09 Aug 2018, 02:09
2
KUDOS
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
Intern
Joined: 10 Sep 2017
Posts: 2
Followers: 0

Kudos [?]: 3 [3] , given: 2

Re: |x| < 1 and y > 0 [#permalink]  15 Aug 2018, 19:39
3
KUDOS
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

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
Intern
Joined: 10 Oct 2017
Posts: 9
Followers: 0

Kudos [?]: 4 [1] , given: 0

Re: |x| < 1 and y > 0 [#permalink]  24 Sep 2018, 02:56
1
KUDOS
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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