Problem 2 (40 pts): Universal set U={1,2,,100} is given. The following sets are subsets of the universal set U:

A={x | x is even, i.e. x is evenly divisible by 2}

B={y | y is evenly divisible by 3}

C={z | z is evenly divisible by 5}

Determine |A B C|.

Give a for loop in Java to display all the numbers in A B C in such a way that only 10 elements will be displayed in each row except the last one.

for(n=1;n<=100;n++){

if( ((n%3!=0) || (n%5!=0)) {

.

}

}

Describe set D={n | body of if statement above is executed} in terms of sets given above and set operations.

for(n=1;n<=100;n++){

if( ((n%2!=0) && (n%5==0)){

.

}

}

Like (c), describe a set E for body of if statement.