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# If x is an integer is x |x| < 2^x? 1. x > 0 2. x = 10

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Joined: 10 Mar 2008
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If x is an integer is x |x| < 2^x? 1. x > 0 2. x = 10 [#permalink]  18 Aug 2008, 12:16
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If x is an integer is x |x| < 2^x?

1. x > 0
2. x = 10
Director
Joined: 12 Jul 2008
Posts: 518
Schools: Wharton
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Kudos [?]: 118 [0], given: 0

Re: DS: Inequalities [#permalink]  18 Aug 2008, 12:19
vksunder wrote:
If x is an integer is x |x| < 2^x?

1. x > 0
2. x = 10

(1) Insufficient

If x = 1:
x|x| = 1
2^x = 2

If x = 2:
2|2| = 4
2^2 = 4

(2) Sufficient
Current Student
Joined: 28 Dec 2004
Posts: 3391
Location: New York City
Schools: Wharton'11 HBS'12
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Re: DS: Inequalities [#permalink]  18 Aug 2008, 12:20
i think B is correct..

1) x=1 is less than 2..but if x=3 then 9>8...

2) x=10 is suff
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Joined: 15 Jul 2008
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Re: DS: Inequalities [#permalink]  18 Aug 2008, 18:42
xIXI<2**10

1. x>o
x**2<2**x

so many values possible for x...........valid for all x <2........try 1, sqrt(2)....

2. x=10

10*I10I=100<2**10

B suff
Re: DS: Inequalities   [#permalink] 18 Aug 2008, 18:42
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