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Eight less than the square of x is less than eight. Which of the follo

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Carcass
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Eight less than the square of x is less than eight. Which of the follo [#permalink] New post   16 Mar 2021, 06:31
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Eight less than the square of x is less than eight. Which of the following expresses all possible values of x?

x < 8
x < 4
x < 0
–4 < x < 4
x > 4 or x < –4

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Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
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Re: Eight less than the square of x is less than eight. Which of the follo [#permalink] New post   16 Mar 2021, 07:09
Carcass wrote:
Eight less than the square of x is less than eight. Which of the following expresses all possible values of x?

x < 8
x < 4
x < 0
–4 < x < 4
x > 4 or x < –4


\(x^2 - 8 < 8\)

\(x^2 < 16\)

\(x^2 < (±4)^2\)

i.e. \(x\) lies between \(-4\) and \(4\)

Hence, option D
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Re: Eight less than the square of x is less than eight. Which of the follo [#permalink] New post   09 Apr 2022, 18:28
x^2 - 8 < 8
x^2 < 16
x < 4 or x > -4
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Re: Eight less than the square of x is less than eight. Which of the follo [#permalink]
09 Apr 2022, 18:28
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