Derive the set identity A (A B) = A from the properties listed in Theorem 6.2.2(1)(9)
Chapter 6, Problem 53(choose chapter or problem)
Derive the set identity \(A \cup(A \cap B)=A\) from the properties listed in Theorem 6.2.2(1)–(9). Start by showing that for all subsets B of a universal set U, \(U \cup B=U\). Then intersect both sides with A and deduce the identity.
Text Transcription:
A cup(A cap B)=A
U cup B=U
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