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If x ≠ 0, is 1/x < 1/x^2? (1) x > 0 (2) 0 < x < 1

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Re: If x ≠ 0, is 1/x < 1/x^2? (1) x > 0 (2) 0 < x < 1 [#permalink]
Statement 1: if we take x=1, 2, 1/2 we will get different answers.Hence, we can eliminate option A.

Statement 2: limits us as x<1. Sufficient

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If x 0, is 1/x < 1/x^2? (1) x > 0 (2) 0 < x < 1 [#permalink]
Since x^2 will always be positive, we can multiply both the sides by x^2
So,
x^2/x < 1
or, x < 1 ?

Only statement (2) answers this question.

Bunuel is this a valid way to solve?
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Re: If x 0, is 1/x < 1/x^2? (1) x > 0 (2) 0 < x < 1 [#permalink]
I simplified the question to
(1-X)/x^2>0
Therefore x<1
2nd option directly answered that. I hope that method is fine.

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Re: If x 0, is 1/x < 1/x^2? (1) x > 0 (2) 0 < x < 1 [#permalink]
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