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If -2< x <11 then which of the following must me true?

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If -2< x <11 then which of the following must me true?  [#permalink]

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New post 12 Jan 2017, 06:22
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If -2< x <11 , then which of the following must me true?

A. x > -1.9999999999
B. x < 10.999999999
C. \(x^3\) > 0
D. \(x^2\) < 100
E. -100<x<20

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If -2< x <11 then which of the following must me true?  [#permalink]

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New post 12 Jan 2017, 06:36
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ReussirleGMAT wrote:
If -2< x <11 , then which of the following must me true?

A. x > -1.9999999999
B. x < 10.999999999
C. \(x^3\) > 0
D. \(x^2\) < 100
E. -100<x<20

Kudos for right solutions




A. Any number of the form x.yyyyy could be represented as a number greater than or less than that by having less or more 'y' s at the end. Although me might say -1.999 is the same as -1.9999 for convenience' sake, they're not the same. They would be -1.9990 and -1.9999. Going by that logic, -1.99999999999 (11 9s) is less than -1.9999999999 (10 9s), therefore the given range doesn't cover all possible values.

B. Eliminated on the basis of the same logic used in A.

C. If x=-1, x^3 will be less than 0.

D If x=10.01, x^2 will be greater than 100.

E. The range of "-2< x <11" falls within the range of "-100<x<20" for whatever value of x. That is, if x satisfies the range -2<x<11, it will satisfy the range -100<x<20.

I hope the explanation is clear.
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Re: If -2< x <11 then which of the following must me true?  [#permalink]

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New post 12 Jan 2017, 10:19
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-100<-2<x<11<20.

-2<x<11 is given....Therefore any number that satisfied the given condition will satisfy -100<x<20.
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Re: If -2< x <11 then which of the following must me true?  [#permalink]

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New post 13 Jan 2017, 01:39
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Very nice explanation sjavvadi Vaidya
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Re: If -2< x <11 then which of the following must me true?  [#permalink]

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Re: If -2< x <11 then which of the following must me true? &nbs [#permalink] 29 Sep 2018, 11:26
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