Question

Prove that for any two sets A and B,
(A – B) U (B - A) = (A UB) - (AUB)​

Answer 1

Answer:

please note there is a mistake in the right side if the question and

KEY : /\ means intersection..

Step-by-step explanation:

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

LEFT-HAND-SIDE:

A-B={1,2,3}

B-A={5,6,7}

(A-B) U (B-A) = {1,2,3,5,6,7}

NOW RIGHT-HAND-SIDE:

(AUB) = {1,2,3,4} U {4,5,6,7}

= {1,2,3,4,5,6,7}

(A/\B) = {4}

( AUB ) - ( A/\B ) = {1,2,3,4,5,6,7}-{4}

(AUB) - (AUB) = {1,2,3,5,6,7}

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(A-B) - (B-A) = (AUB) - (A/\B). (proved)

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hope still it helps :)

Answer 2

Answer:

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