Question

6) A = {1,2,3,4,} ; B={3,4,} show that A u B= A and A nB= B​

Answer 1

Answer:

It is Union nd intersection right?

Step-by-step explanation:

A={1,2,3,4}

B={3,4}

AUB={1,2,3,4}=A

hence verified

AnB={3,4}=B

hence verified

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Answer 2

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

therefore ,

A'= {1,4,5,6}

B'={1,2,6}

A′ ∩ B′ = {1,6}

Now to show ( A ∪ B )′ = A′∩ B′ , first find ( A ∪ B )

(A U B) = {2,3,4,5,}

Now, ( A ∪ B )′ = {1,6}

As we have already know, A′ ∩ B′ = {1,6}

therefore, ( A ∪ B )′ = A′∩ B′

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