Question

If A = {1,2,4,5} B = { 2,3,5,6} and C = {4,5,6,7} Verify that AU(B∩C) = (AUB) ∩ (AUC)​

Answer 1

Answer:

False

Step-by-step explanation:

LHS:

(B∩C)= 5,6

AU(B∩C)= 1,2,4,5,6

RHS:

(AUB)= 1,2,3,4,5,6

(AUC) =1,2,4,5,6,7

(AUB) ∩ (AUC) = 2,4,5,6

Therefore, AU(B∩C) is not equal to (AUB) ∩ (AUC).

Hence, verified.

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