let A={1,2,3,4}, B={4,5,6},C={5,6} verify. 1. A×(B intersection C) =(A×B) intersection (A×C) 2. A×(B U C) = (A×B) U (A×C)

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let A={1,2,3,4}, B={4,5,6},C={5,6} verify. 1. A×(B intersection C) =(A×B) intersection (A×C) 2. A×(B U C) = (A×B) U (A×C)

jaywadmare 3rd Sep, 2020

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Answer (1)

manisaibitspilani 3rd Sep, 2020

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)

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