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# Level 3 math question?

Registered User Posts: 481 Member
edited August 2013
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.
Post edited by RhythmMeleon on

## Replies to: Level 3 math question?

• Registered User Posts: 27 Junior Member
x times x times x is not less than just x
• Registered User Posts: 481 Member
that proves that C is right.
• Registered User Posts: 37 Junior Member
I think the "right" answer is wrong

A. 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
• Registered User Posts: 1,289 Senior Member
Try 1 of each "type" of number. There are 4 "types" that I have in mind:

Numbers 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.
• Registered User Posts: 481 Member
C)
Using 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?
• Registered User Posts: 481 Member
so sorry guys. I marked myself wrong, C is the correct answer
This discussion has been closed.