If x^2 > x^3 > x^1, which of the following could NOT be the value of x?  Choices:
A) -0.5
B) -1.2
C) -1/5
D) -2/3
E) -0.1
x^2 &gt; x^3 &gt; x^1   1)Here we have an even power of a variable (x) that is greater than both a larger odd power of the variable x and a smaller odd power of the variable x.   This can be possible only if the base is negative; therefore, the variable, x, must be a negative number.   2) Now if the variable x is negative, the higher power results in a smaller number if x&lt;-1, and a higher power results in a larger number if 0&gt;x&gt;-1.   With this information, we know that x is a negative number less than -1; therefore, -1.2 (-1.2) is the only option that does not fall within this category.
<result>B</result>
If x^2 > x^3 > x^1, which of the following could NOT be the value of x?