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Source: Official Guide for the GMAT 13th Ed. Data Sufficiency; #159 Official Guide for the GMAT 2015 14th Ed. Data Sufficiency; #159

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If x is an integer, is x|x|<2?

If x is an integer, is x|x|<2?

2 Explanations

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Sirisha C

The question stem X|X|<2^x can be rewritten as "Is X negative?"
Because, mod X is always positive; hence, the value of the question stem depends entirely on the negative or positive value of x.

Jun 12, 2015 • Comment

Jonathan , Magoosh Tutor

Well, that's all we need to consider given the statements in this question. Note that there ARE positive values of x such that x|x| < 2^x ...specifically, if x > 4, this is true.

But yes, if x < 0, the answer to the question is always YES.

Jun 18, 2015 • Reply

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Mike McGarry, Magoosh Tutor

Jan 5, 2014 • Comment

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Official Guide for the GMAT 12th Ed.

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Section 6.3 Data Sufficiency

Section 6.3 Data Sufficiency

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