how to find the maximum and minimum value of the elements of a intersection b
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Given two sets, the maximum number of elements in the union would be when A and B are disjoint, they have no common elements. The minimum size of the union would be when either A or B is entirely contained in B or A respectively.
As for intersection, if the sets A and B are disjoint, the intersection of A and B would be empty, so the size of the set would be zero - if you think that is cheating, arrange for the intersection to have one element. As for the maximum size of the intersection, if A contains B or B contains A, then the intersection would be the size of B or A respectively.
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