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Question

Mathematics Question on Subsets

If A = {1, 2, 3, 4}, B = {3, 4, 5, 6}, C = {5, 6, 7, 8} and D = {7, 8, 9, 10}; find
(i) ABA∪ B
(ii) ACA ∪ C
(iii) BCB ∪ C
**(iv) **BDB ∪ D
(v) ABCA ∪ B ∪ C
(vi) ABDA∪ B ∪ D
(vii) BCDB ∪ C ∪ D

Answer

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

(i) ABA ∪ B = {1, 2, 3, 4, 5, 6}


(ii) ACA ∪ C = {1, 2, 3, 4, 5, 6, 7, 8}


(iii) BCB ∪ C = {3, 4, 5, 6, 7, 8}


(iv) BDB∪ D = {3, 4, 5, 6, 7, 8, 9, 10}


**(v) **ABCA ∪ B ∪ C = {1, 2, 3, 4, 5, 6, 7, 8}


(vi) A ∪ B ∪ D = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}


(vii) B ∪ C ∪ D = {3, 4, 5, 6, 7, 8, 9, 10}