Math, asked by yooooooyuojvb, 1 month ago

plz answer this fast
prove the answer correctly​

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Answered by rishabh994
1

Answer:

A = {1, 2, 3, 4}

B = {2, 4 , 6, 8}

C = {3, 4, 5, 6}

a. A ∩ B = {2, 4}

b. A ∩ C = {3, 4}

c. B ∪ C = {2, 3, 4, 5, 6, 8}

Now, LHS = A ∩ (B ∪ C)

= {1, 2, 3, 4} ∩ {2, 3, 4, 5, 6, 8}

= {2, 3, 4}

And, RHS = (A ∩ B) ∪ (A ∩ C)

= {2, 4} ∪ {3, 4}

= {2, 3, 4}

Therefore, LHS = RHS

Hope you got your answer

Have a great day ahead

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