Question

Let U={1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, A={1, 2, 3, 4, 5}, B={1, 3, 5, 7} Find A' ∩ B

Answer 1

Here given that:

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

Here let's first find the set A' , by using formula:

→ A' = U - A

→ A' = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} - {1, 2, 3, 4, 5}

→ A' = {6, 7, 8, 9, 10}

Now A' ∩ B is the set of all common elements of A' and B as

→ A' ∩ B = {6, 7, 8, 9, 10} ∩ {1, 3, 5, 7}

→ A' ∩ B = {7}

Hence, A' ∩ B is a singleton set