Question

Q5. Let A= {0, 1, 2, 3, 4, 5), B= {2, 4, 6, 8) and C= {1, 3, 5, 7} - Verify (An B) n C = An (BOC)​

Answer 1

Answer:

Answer

The given sets are:

A={1,2,4,5}, B={2,3,5,6}, C={4,5,6,7}

∴ B∪C={2,3,4,5,6,7}

A−(B∪C)={1}

A−B={1,4}

A−C={1,2}

(A−B)∩(A−C)={1}

we have to verify, A−(B∪C)=(A−B)∩(A−C)

LHS=A−(A∪C)

={1}

RHS=(A−B)∩(A−C)

={1}

Hence,

A−(B∪C)=(A−B)∩(A−C)

Answer 2

Answer:

Given, A={1,2,3,4,5},B={2,4,6,8} and C={3,4,5,6}

For the LHS:

d (2), we have

A−(B∪C)=(A−B)(A−C)

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