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# Is y larger than 1? (1) y is larger than 0. (2) y^2 – 4 > 0

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Math Expert
Joined: 02 Sep 2009
Posts: 50042
Is y larger than 1? (1) y is larger than 0. (2) y^2 – 4 > 0  [#permalink]

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29 Oct 2017, 01:47
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Difficulty:

25% (medium)

Question Stats:

74% (00:42) correct 26% (00:07) wrong based on 22 sessions

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Is y larger than 1?

(1) y is larger than 0.
(2) y^2 – 4 > 0

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Manager
Joined: 21 Jun 2014
Posts: 62
Re: Is y larger than 1? (1) y is larger than 0. (2) y^2 – 4 > 0  [#permalink]

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29 Oct 2017, 10:45
It is C
Y greater than 2 or less than -2
So using both, we can say that Y is definitely greater than 1

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Joined: 22 Aug 2013
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Location: India
Re: Is y larger than 1? (1) y is larger than 0. (2) y^2 – 4 > 0  [#permalink]

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29 Oct 2017, 11:01
(1) y > 0
This doesnt necessarily mean that y is > 1. Eg y could be 0.5 or 2. Insufficient

(2) y^2 - 4 > 0 or y^2 > 4
range of values of y that satisfy this inequality are: y > 2 and y < -2
So if y is positive it has to be > 2 and if y is negative is has to be < -2
This doesnt tell us whether y is > 1 or not. Insufficient

Combining the two statements, y is > 0 so y must be > 2, this means it has to be > 1 also. Sufficient

Re: Is y larger than 1? (1) y is larger than 0. (2) y^2 – 4 > 0 &nbs [#permalink] 29 Oct 2017, 11:01
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# Is y larger than 1? (1) y is larger than 0. (2) y^2 – 4 > 0

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