Let \( A=\{1,2,4,5\} \quad B=\{2,3,5,6\} \quad C=\{4,5,6,7\} . \) Verify the following identitie...

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Let \( A=\{1,2,4,5\} \quad B=\{2,3,5,6\} \quad C=\{4,5,6,7\} . \) Verify the following identities:
\[
A \cup(B \cap C)=(A \cup B) \cap(A \cup C)
\]
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