Question

If A = {1, 2, 3, 4}, B = {3, 4, 5, 6}, C = {5, 6, 7, 8} and D = {7, 8, 9, 10}; find
(i) A ∪ B
(ii) A ∪ C
(iii) B ∪ C
(iv) B ∪ D
(v) A ∪ B ∪ C
(vi) A ∪ B ∪ D
(vii) B ∪ C ∪ D
​

Answer 1

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It is given that

A = {1, 2, 3, 4],

B = {3, 4, 5, 6},

C = {5, 6, 7, 8}

and

D = {7, 8, 9, 10}

(i) A ∪ B = {1, 2, 3, 4, 5, 6}

(ii) A ∪ C = {1, 2, 3, 4, 5, 6, 7, 8}

(iii) B ∪ C = {3, 4, 5, 6, 7, 8}

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

(v) A ∪ 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}

Answer 2

Answer:

(i) a 1,2,3,4,5,6

(ii) a 1,2,3,4,5,6,7,8

(iii) b 3,4, 5,6,7,8

(iv) b 3,4,5,6, 7,8,9,10

(v) a 1,2,3,4, 5,6,7,8

(vi) a 1,2, 3,4,5,6, 7,8,9,10

(vii) b 3,4, 5,6, 7,8,9,10

Step-by-step explanation: