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GMAT Data Sufficiency (DS) | Re: If x is an integer, is x|x| < 2^x?

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cucrose wrote:

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

(1) x < 0
(2) x = -10


Forget conventional ways of solving math questions. In DS, Variable approach is the easiest and quickest way to find the answer without actually solving the problem. Remember equal number of variables and independent equations ensures a solution.

There is 1 variable. Thus D is the answer most likely.

Condition 1)\(x < 0\)
Since\(|x| = -x\) if\(x < 0\) , the question\(x|x| < 2^x\) is equivalent to\(-x^2 < 2^x\) .
We have the left hand
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