Show that if A and B are finite sets, then |A ? B| ? | A ? B|. Determine when this relationship is an equality.

Solution:Step 1:The objective of this question is to proof that, Show that if A and B are finite sets, then |A B| | A B|.Step 2:Given that: A and B are the two finite sets.Step 3:Definition of Union: The set of all the elements A and B comes in a single set without any duplicity, it is denoted by That is, A , A is a subset of That is, B , B is a subset of Definition of Intersection: Common elements between the set A and B, but without any duplicity and it is denoted by That is, A ABis a subset of AThat is, A AB is a subset of B.Finite Set : Finite set contains the fix numbers of elements.