Question: If the universa l set is given by S = {1, 2, 3, 4, 5, 6}, and A = {1, 2}, B = {2, 4,

If the universa l set is given by S = {1, 2, 3, 4, 5, 6}, and A = {1, 2}, B = {2, 4, 5},C = {1, 5, 6} are three sets, find the following sets:

a. A ∪ B

b. A ∩ B

c. Ā

d. B̄

e. Check De Morgan's law by finding (A ∪ B)c and Ac ∩ Bc.

f. Check the distributive law by finding A ∩ (B ∪ C) and (A ∩ B) ∪ (A ∩ C).

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