Question

To verify distributive law for three given non-empty sets A, B and C, tthe is  A ∪ (B ∩ C) = (A ∪ B) ∩ (A ∪ C)​

Answer 1

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The question asks for verification of Distributive law

So let A={1,2,3,4,5,6}

B={1,2,3,4,5}

and C={1,9}

B∩C={1}

A∪(B∩C)={1,2,3,4,5,6}

Also A∪B={1,2,3,4,5,6}

A∪C={1,2,3,4,5,6,9}

(A∪B)∩(A∪C)={1,2,3,4,5,6}

So A∪(B∩C)=(A∪B)∩(A∪C)

Hence the law is verified