Question 23 of 47beginner🔧 ApplyShort Answer4 marks

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

Answer

A ∪ B = {1, 2, 3, 4, 5, 6}

(ii)

A ∪ C

Answer

A ∪ C = {1, 2, 3, 4, 5, 6, 7, 8}

(iii)

B ∪ C

Answer

B ∪ C = {3, 4, 5, 6, 7, 8}

(iv)

B ∪ D

Answer

B ∪ D = {3, 4, 5, 6, 7, 8, 9, 10}

(v)

A ∪ B ∪ C

Answer

A ∪ B ∪ C = {1, 2, 3, 4, 5, 6, 7, 8}

(vi)

A ∪ B ∪ D

Answer

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

(vii)

B ∪ C ∪ D

Answer

B ∪ C ∪ D = {3, 4, 5, 6, 7, 8, 9, 10}

Explanation

The question requires finding the union of the given sets. The union of two sets A and B, denoted by A ∪ B, is the set of all elements that belong to A, or B, or both. By combining the distinct elements from the provided sets A, B, C, and D in roster form, we derive the solution for each sub-part. The elements are listed in ascending order as per standard convention shown in the context.

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