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If x > 1, which of the following must be true?

GMAT · 2021 · Quantitative
Question:
If x > 1, which of the following must be true?

Options

(A) √x < x
(B) all
(C) 1/x < 1
(D) x - 1 < x
(E) x < 2x
Answer: (B) all

Explanation:
(A) √x < x is true for x > 1. (B) x² < x³ means x² < x² × x, which means 1 < x. True for x > 1. (C) 1/x < 1 is true for x > 1. (D) x - 1 < x is always true. (E) x < 2x means 0 < x, always true for x > 1. All are true

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