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yumi2012: Senior | Next Rank: 100 Posts; Posts: 64; Joined: Mon Jul 23, 2012 1:59 pm; Thanked: 1 times

by yumi2012 » Wed Sep 05, 2012 7:53 pm

Can x<xÂ²be simplified to 1<x ? (by multiplying each side by 1/x)

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Source: Beat The GMAT — Problem Solving | Wed Sep 05, 2012 7:53 pm

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Anurag@Gurome: GMAT Instructor; Posts: 3835; Joined: Fri Apr 02, 2010 10:00 pmFollowed by: 523 members; Location: Milpitas, CA; Thanked: 1854 times; GMAT Score:770

by Anurag@Gurome » Wed Sep 05, 2012 8:19 pm

yumi2012 wrote:Can x<xÂ²be simplified to 1<x ? (by multiplying each side by 1/x)

It can be, if it is given that x is a positive integer.

Example: If x = -2, then -2 < (-2)Â² or -2 < 4 is true but 1 < -2 does not hold true.

I hope that helps.

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