If x^6 > x^9 > x^11, which of the following could be the value of x?  Pick
A) -1/5	B) 52	C) 6	D) 3	E) -4.7
x^6 &gt; x^9 &gt; x^11   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, -4.7 (-4.7) is the only option.
<result>E</result>
If x^6 > x^9 > x^11, which of the following could be the value of x?