Okay, so what's the main issue here? If you just let , then the measure of the set where they differ is certainly less than . But of course, then may not be bounded as required. So try defining , and looking at what happens to as goes to infinity.
Okay, so what's the main issue here? If you just let , then the measure of the set where they differ is certainly less than . But of course, then may not be bounded as required. So try defining , and looking at what happens to as goes to infinity.