If x^2 > x^7> x^5, which of the following could be the value of x?	Choose the correct choice from the following choices
A) -9	B) -2	C) -5/8	D) 5	E) 9
x^2 &gt; x^7 &gt; x^5   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 between 0 and -1; therefore, -5/8 (-5/8) is the only option.
<result>C</result>
If x^2 > x^7> x^5, which of the following could be the value of x?