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# If x ≠ 0, is (x^2 + 1)/x > y? (1) x = y (2) y > 0

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Math Expert
Joined: 02 Sep 2009
Posts: 60727
If x ≠ 0, is (x^2 + 1)/x > y? (1) x = y (2) y > 0  [#permalink]

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04 Dec 2019, 02:33
00:00

Difficulty:

35% (medium)

Question Stats:

74% (01:49) correct 26% (01:47) wrong based on 38 sessions

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If $$x ≠ 0$$, is $$\frac{x^2 + 1}{x} > y$$?

(1) $$x = y$$

(2) $$y > 0$$

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Math Expert
Joined: 02 Aug 2009
Posts: 8327
Re: If x ≠ 0, is (x^2 + 1)/x > y? (1) x = y (2) y > 0  [#permalink]

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04 Dec 2019, 06:03
If $$x ≠ 0$$, is $$\frac{x^2 + 1}{x} > y$$?

Or $$x+\frac{ 1}{x} > y$$

(1) $$x = y$$
Is $$x+\frac{ 1}{x} > y$$......$$x+\frac{ 1}{x} > x...........\frac{1}{x}>0$$?
If x>0, yes, but if x<0, no.
Insuff

(2) $$y > 0$$
Is $$x+\frac{ 1}{x} > y>0$$?
If x>0, yes, but if x<0, no.
Insuff

Combined
We know x=y>0, so answer is YES.

C
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Re: If x ≠ 0, is (x^2 + 1)/x > y? (1) x = y (2) y > 0   [#permalink] 04 Dec 2019, 06:03
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