According to the given information, Suppose that: f(n) be the largest prime divisior of n it is required to given example to explain whether x < y but f(x) > f(y) So, take an example and explain. take x = 5 and y = 16 for x = 5 the largest prime divisor of 5 is 5 so, f(5) = 5 for y = 16 the largest prime divisor of 16 is 2 so, f(16) = 2 therefore, 5<16 but 5>2 that is xf(y) therefore, the given statement is possible.