If 4<x<8<y<12, then what is the greatest possible positive integer difference of x and y?  Select:
A) 3 B) 4 C) 5 D) 6 E) 7

Rationale: "let x = 4.1 and y = 11.1 greatest possible difference = 11.1 - 4.1 = 7 answer e"
Answer: E