Question

Let A={1,2,4,5}, B={2,3,5,6}, C={4,5,6,7}.Verify that

i)A ∪(B∩C)=(A∪B)∩(A∪C)

ii) A∩(B∪C)=(A∩B)∪(A∩C)

will mark the answer as brainliest for sure

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Answer 1

Step-by-step explanation:

1 . AU (BnC)

B nC ={5,6}

A U (B nC) ={1,2,4,5,6}

A U B ={1,2,3,4,5,6}

A U C ={1,2,4,5,6,7}

(A U B) n (A U C) ={1,2,4,5,6}

ie, A U (B n C) = (AUB) n (AUC)

2. B U C={2, 3,4,5,6,7}

A n (BUC) ={2, 4,5}

A n B ={2, 5}

A n C={4, 5}

(A n B) U (A n C)={2,4,5}

ie, A n (B UC) =(A n B)U(A n C)

Answer 2

Answer:

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