[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
If 0 < x+1 < 1, which of the following lists is written
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- Max@Math Revolution
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A
B
C
D
E
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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
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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[Free] Full on-demand course (7 days) - 100 hours of video lessons, 490 lesson topics, and 2,000 questions.
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