Question

Find the intersection of following sets: A = {x: x is a natural number and 1 < x ≤ 4}, B = {x: x is a natural number and 4 < x ≤ 7}
1. {4}
2. {4, 6, 7}
3. {1, 2, 3, 4}
4. ϕ 

Answer 1

Correct Answer - Option 4 : ϕ 

Concept:

(A ⋂ B) are the elements present in both the sets (A and B)

Calculation:

Here, A = {x: x is a natural number and 1 < x ≤ 4},

A = {2, 3, 4}

B = {x: x is a natural number and 4 < x ≤ 7}

B = {5, 6, 7}

Here, not a single element is common in both sets.

So, (A ∩ B) = ϕ 

Hence, option (4) is correct.