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Is x > 0? (1) x^2 > 0 (2) |x| > 0

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carcass
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Is x > 0? (1) x^2 > 0 (2) |x| > 0 [#permalink] New post  Updated on: 31 Oct 2018, 22:10
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D
E

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5% (low)

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86% (00:32) correct 14% (00:37) wrong based on 527 sessions

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Is \(x > 0\)?


(1) \(x^2>0\)

(2) \(| x | > 0\)
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Originally posted by carcass on 31 Oct 2018, 10:41.
Last edited by Bunuel on 31 Oct 2018, 22:10, edited 1 time in total.
Renamed the topic, edited the question and the tags.
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PKN
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Re: Is x > 0? (1) x^2 > 0 (2) |x| > 0 [#permalink] New post  31 Oct 2018, 10:50
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carcass wrote:
Is \(x > 0\)?

(1) \(x^2>0\)
(2) \(| x | > 0\)



St1:- Interval of x: x<0 or x>0

Insufficient.

St2:- Interval of x: x<0 or x>0
Insufficient

Combined:- Interval of x: x<0 or x>0
Insufficient.

Ans. (E)
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hsn81960
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Re: Is x > 0? (1) x^2 > 0 (2) |x| > 0 [#permalink] New post  11 Jun 2019, 02:49
why is statement 2 not sufficient ?
Doesnt it mean that mod of x = +ve ?
>0
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Re: Is x > 0? (1) x^2 > 0 (2) |x| > 0 [#permalink] New post  11 Jun 2019, 04:42
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hsn81960 wrote:
why is statement 2 not sufficient ?
Doesnt it mean that mod of x = +ve ?
>0


1) x=5 , |x|=5 or |x|>0
2) x=-5 , |x|=-(-5)=5 or |x|>0
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Re: Is x > 0? (1) x^2 > 0 (2) |x| > 0 [#permalink] New post  09 Jan 2023, 04:01
Can someone explain how to calculate range of option b? option a is simple < and >. But what if we have mod on left side?
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Bunuel
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Re: Is x > 0? (1) x^2 > 0 (2) |x| > 0 [#permalink] New post  09 Jan 2023, 06:30
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TBT wrote:
Can someone explain how to calculate range of option b? option a is simple < and >. But what if we have mod on left side?


The absolute value of a number is always more than or equal to 0 (|a| ≥ 0), so |x| > 0 simply means that x ≠ 0.
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Re: Is x > 0? (1) x^2 > 0 (2) |x| > 0 [#permalink]
09 Jan 2023, 06:30
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