Let set A = {2, 4, 6, 8, 10} and set B = {1, 3, 5, 7, 9, 10}.
Find the following:
(i) n (A U B)
(ii) n (A ∩ B)
(iii) n (A - B)
(iv) n (B - A)
(v) (A ∪ B) - (A ∩ B)

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Solution

Given A = {2, 4, 6, 8, 10} and B = {1, 3, 5, 7, 9, 10}

then (A ∪ B) = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
and, (A ∩ B) = {10}
also, (A - B) = {2, 4, 6, 8} and (B - A) = {1, 3, 5, 7, 9}

So,
(i) n (A ∪ B) = 10
(ii) n (A ∩ B) = 1
(iii) n (A - B) = 4
(iv) n (B - A) = 5
(v) (A ∪ B) - (A ∩ B) = {1, 2, 3, 4, 5, 6, 7, 8, 9}

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