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must be true [#permalink]

23 Oct 2011, 10:49

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Question Stats:

60% (01:39) correct

40% (00:59) wrong

based on 0 sessions

If -1 < x < 0, which of the following must be true?
I. x3 < x2 II. x5 < 1 - x III. x4 < x2

I only
I and II only
II and III only
I and III only
I, II and III
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Re: must be true [#permalink]

23 Oct 2011, 11:48

LalaB wrote:

please explain

what's your doubt?

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Re: must be true [#permalink]

14 Dec 2011, 00:26

+1 E

Remember that every negative number whose exponent is odd has a negative number as a result.
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Re: must be true [#permalink]

14 Dec 2011, 03:40

all answers are correct and I'll explain

first we know that X is negative and it's between -1 and 0,

1)x3<x2-correct because x3 is negative(---=-) and x2 is posittive(--=+)
2)x5<1-x x5 is negative and 1 minus negative gives 1+positive so it's correct
3)x4<x2 here u should remember that if number is between 0 and 1, square gives less than actual number...u can check for example 0.5 in square is 0.25 which is less than 0.5..so X4 is less than x2
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Re: must be true [#permalink] 14 Dec 2011, 03:40

		Similar topics	Author	Replies	Last post
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must be true

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