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If x < x^3 < x^2, then
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02 Jan 2022, 06:42
02 Jan 2022, 06:42
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Question Stats:
55% (01:17) correct
44% (00:46) wrong based on 9 sessions
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If \(x < x^3 < x^2\), then
(A) x < -1
(B) -1 < x < 0
(C) 0 < x < 1
(D) 1 < x
(E) -1 < x < 1
(A) x < -1
(B) -1 < x < 0
(C) 0 < x < 1
(D) 1 < x
(E) -1 < x < 1
Re: If x < x^3 < x^2, then
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02 Jan 2022, 19:49
02 Jan 2022, 19:49
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\(x < x^3 < x^2\)
\(x - x^3 < 0\)
\(x (x^2-1) < 0\)
\(x < 0\) or \(x^2 < 1\) :: \(-1 < x < 1\)
\(-1 < x < 0\)
Or you can try out values from the option. Only for the values of \(x\) from \(-1 < x < 0\) will suffice.
Answer \(B\)
\(x - x^3 < 0\)
\(x (x^2-1) < 0\)
\(x < 0\) or \(x^2 < 1\) :: \(-1 < x < 1\)
\(-1 < x < 0\)
Or you can try out values from the option. Only for the values of \(x\) from \(-1 < x < 0\) will suffice.
Answer \(B\)
gmatclubot
Re: If x < x^3 < x^2, then [#permalink]
02 Jan 2022, 19:49
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