Solved: Derive the set identity A (A B) = A from the properties listed in Theorem
Chapter 6, Problem 54(choose chapter or problem)
Derive the set identity \(A \cap(A \cup B)=A\) from the properties listed in Theorem 6.2.2(1)–(9). Start by showing that for all subsets B of a universal set U, \(\emptyset=\emptyset \cap B\). Then take the union of both sides with A and deduce the identity.
Text Transcription:
A cap(A cup B)=A
emptyset= emptyset cap B
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