Question: Suppose n left parenthesis Upper A intersect Upper B right parenthesis equals n left parenthesis Upper A union Upper B right parenthesis. What more can

Suppose n left parenthesis Upper A intersect Upper B right parenthesis equals n left parenthesis Upper A union Upper B right parenthesis. What more can be said about A and B? A. Since n left parenthesis Upper A intersect Upper B right parenthesis equals n left parenthesis Upper A union Upper B right parenthesis and Upper A intersect Upper B is a subset of Upper A is a subset of Upper A union Upper B, it follows that Upper A intersect Upper B equals Upper A union Upper B. However, the intersection and union of two sets can only be equal if the sets are empty. Thus, AequalsBequalsempty set. B. Since Upper A intersect Upper B is a subset of Upper A and Upper A intersect Upper B is a subset of Upper B, it follows that Upper A is a subset of Upper B and Upper B is a subset of Upper A. Then, since both of these sets are finite, it follows that AequalsB. Note that since n left parenthesis Upper A intersect Upper B right parenthesis equals n left parenthesis Upper A union Upper B right parenthesis, it is necessary that Upper A intersect Upper B and

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