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RhythmMeleon
Registered User Posts: **481** Member

Each of the following inequalities is true for some values of x EXCEPT

a) x< x^2 < x^3

b) x < x^3 < x^2

c) x^2 < x^3 < x

d) x^3 <x <x^2

e) x^3 < x^2 <x

the right answer is D, but I don't get how C isn't the right answer either.

a) x< x^2 < x^3

b) x < x^3 < x^2

c) x^2 < x^3 < x

d) x^3 <x <x^2

e) x^3 < x^2 <x

the right answer is D, but I don't get how C isn't the right answer either.

Post edited by RhythmMeleon on

This discussion has been closed.

## Replies to: Level 3 math question?

27Junior Member481Member37Junior MemberA. Example x= 2 ~~~ 2 < 4 < 8

B. Example x= -.5 ~~~ -.5< -.125 < .25

C

D. Example x= -2 ~~~ -8 < -2 < 4

E. Example x=.9 ~~~~ .729 < .81 < .9

1,289Senior MemberNumbers greater than 1, between 0 and 1, between -1 and 0, and less than -1.

So for example, try 2, 1/2, -1/2, and -2. Each of these numbers will eliminate one answer choice, and you will be left with the answer.

Remark: I suppose I should mention that there are 3 more "degenerate types": 1, -1, and 0. But these are not needed in this problem.

481MemberUsing 2: 4<8<2

Using 1/2: 1/4<1/8<1/2

Using -1/2: 1/4<-/18<-/12

Using -2: 4<-8<-2

D)

Using 2: 8<2<4

Using 1/2: 1/8<1/2<1/4

Using -1/2: -1/8<-1/2<1/4

Using -2: -8<-2<4 <

THIS WORKS! ?? So how is D right?

481Member