If x^6 + y^6 = 500, then the greatest possible value of x is between  Choose the correct choice.
A) 0 and 3  B) 3 and 6  C) 6 and 9  D) 9 and 12  E) 12 and 15
for the greatest possible value of x^6, we must minimize the value of y^6 i.e. lets say y^6 = 0   then we need to find a number x such that x^6 &lt; 500. 2^6 = 64 and 3^6 = 729 so we can say that the maximum possible value of x can be a little less than 3 hence answer = between 0 and 3   hence 0 and 3
<result>A</result>
If x^6 + y^6 = 500, then the greatest possible value of x is between