<PRE><B>Question 271681</B>
Each of the following inequalities is true for some values of x EXCEPT

A   x &lt; x^2 &lt; x^3

B   x &lt; x^3 &lt; x^2

C   x^2 &lt; x^3 &lt; x

D   x^3 &lt; x &lt; x^2

E   x^3 &lt; x^2 &lt; x 

&lt;pre&gt;

A is true for x=2 

B is true when x=-.5 

D is true for x=-2 

E is true for x= .5

So the only one left is C.  

The cube of a number is never between the number and its square.

Edwin&lt;/pre&gt;

</PRE>