Question

Let U = {x :x ∈ N, 0 < x < 8}, A = {1, 3, 5, 7, 9}.and B = {2, 4, 6, 8} Find (A ∩ B)′ 
1. {2, 4, 6, 8}
2. {1, 3, 5, 7}
3. {1, 2, 3, 4, 5, 6, 7}
4. ϕ 

Answer 1

Correct Answer - Option 3 : {1, 2, 3, 4, 5, 6, 7}

Concept:

(A ∩ B) = common term in A and B

(A ∩ B)' = A' U B'

Calculation:

Given: U = {1, 2, 3, 4, 5, 6, 7}

A = {1, 3, 5, 7, 9}.and B = {2, 4, 6, 8}

(A ∩ B) = ϕ 

(A ∩ B)' = U

Hence, (A ∩ B)' = {1, 2, 3, 4, 5, 6, 7}