If x^6 > x^9 > x^7, which of the following could be the value of x?	Select the correct option:
A) -6  B) -1/2  C) 2  D) 1/2  E) 6
x^6 &gt; x^7 &gt; x^9   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, -1/2 (-1/2) is the only option.
<result>B</result>
If x^6 > x^9 > x^7, which of the following could be the value of x?