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# Is x < 0? (1) x^2 ≥ 3x (2) x^2 ≤ 5x

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Re: Is x < 0? (1) x^2 ≥ 3x (2) x^2 ≤ 5x [#permalink]
fmcgee1

x^2 <= 5x ====> |x| ≤ √5x

While its true, but in this case x HAS to be a positive or 0. If x is a negative no. there is no real value for √5x. Do you agree?
Now the question states that is x<0 which means that they are asking if x is negative. Hence, from statement 2 we can confidently say that x is not negative. Hence S2 is sufficient by itself.
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Re: Is x < 0? (1) x^2 3x (2) x^2 5x [#permalink]
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