If x < y < z and y-x > 5, where x is an even integer and y and z are odd integers, what is the least possible value of z - x?
Select the correct option:
A) 6
B) 7
C) 8
D) 9
E) 10

Rationale: "we want to minimize z − xz − x , so we need to maximize xx . say z = 11 = oddz = 11 = odd , then max value of yy will be 9 ( as yy is also odd ) . now , since y − 5 > xy − 5 > x - - > 9 − 5 > x 9 − 5 > x - - > 4 > x 4 > x , then max value of xx is 2 ( as xx is even ) . hence , the least possible value of z − xz − x is 11 - 2 = 9 . answer : d ."
Answer: D