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If x ? 0, is x^2/|x| < 1? (1) x < 1 (2) x > [#permalink]
15 Aug 2006, 21:13
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If x ≠ 0, is x^2/|x| < 1?
(1) x < 1
(2) x > −1
A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient. B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient. C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
D. EACH statement ALONE is sufficient.
E. Statements (1) and (2) TOGETHER are NOT sufficient.
We don't have to worry about the -ve values. The equality will behave same for +ve and -ve values. We just need to worry about the fractions less than 1 and greater than 0 because x^2 is less than x for |x|<1.