Question

5. If A = {1, 2, 3), B = {3,4} and C = {4,5,6), find

(i) A × (B intersection C)
(ii) (A × B) intersection (A × C)
(iii) A × (B union C)
(iv) (A × B) union (A × C)​

Answer 1

Step-by-step explanation:

i) A = {1, 2, 3}

B = {3, 4}

C = {4, 5, 6}

(B ∩ C) = {3, 4} ∩ {4, 5, 6} = {4}

A ∪ (B ∩ C) = {1, 2, 3} ∪ {4} = {1, 2, 3, 4}.

Answer 2

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