Question

Observe the Venn diagram.

1. Write in roster form. 

2. Verify that (A – B) ∪ (A ∩ B) = A

3. Find (A ∩ B)’

Answer 1

1. A = {1, 3, 4, 8} ; B = {2, 3, 5}

2. A – B = {1, 4, 8}; A ∩ B = {3}

⇒ (A – B) ∪ (A ∩ B) = {1, 3, 4, 8}

Hence; (A – B) ∪ (A ∩ B) = A

3. (A ∩ B)’ = {1, 2, 4, 5, 6, 7, 8, 9}