Question

For any two sets a and b prove that a-b, b-a, a intersection b are pair wise disjoint

Answer 1

To prove that a-b, b-a, a intersection b are pair wise disjoint let us assume a simple set.

a = {1,2,3} b = {3,4}

now a-b = {1,2} b-a = {4} and a intersection b = {3}

Thus we can see clearly that there are no common elements in between therefore, a-b, b-a, a intersection b are pair wise disjoint.