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)
Answer (1)
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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