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If 0 < x+1 < 1, which of the following lists is written

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If 0 < x+1 < 1, which of the following lists is written

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[GMAT math practice question]

If 0 < x+1 < 1, which of the following lists is written in ascending order?

A. x, x^{-1}, x^2, 1, x^{-2}
B. x^{-2}, x, x^2, 1, x^{-1}
C. x^{-1}, x, x^2, 1, x^{-2}
D. x^{-1}, x^2, x, 1, x^{-2}
E. x^{-1}, x, x^2, x^{-2}, 1

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=>

Plug in x = -1/2.
Then x^{-2} = 4, x^{-1}= -2 and x^2 = 1/4
Thus, x^{-1}< x < x^2 < 1 < x^{-2}.

Therefore, C is the answer.
Answer: C

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