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If \(|x| < 20\) and \(|x - 8| > |x + 4|,\) which of the following expresses the allowable range for \(x?\)

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by Gmat_mission » Thu Jul 22, 2021 7:58 am

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If \(|x| < 20\) and \(|x - 8| > |x + 4|,\) which of the following expresses the allowable range for \(x?\)

(A) \(-12 < x < 12\)

(B) \(-20 < x < 2\)

(C) \(-20 < x < -12\) and \(12 < x < 20\)

(D) \(-20 < x < -8\) and \(4 < x < 20\)

(E) \(-20 < x < -4\) and \(8 < x < 20\)

Answer: B

Source: Magoosh
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