Question

If A = {1, 2, 3, 4} and B = {3, 4, 5 ,6} then find A ∩ B ?
1. Finite set
2. Empty set
3. Infinite set
4. None of these

Answer 1

Correct Answer - Option 1 : Finite set

Given:

A = {1, 2, 3, 4} and B = {3, 4, 5 ,6}

Concept:

• If A and B are two sets then A ∩ B = {x : x ∈ A and x ∈ B}

Calculation:

We have 

A = {1, 2, 3, 4} and B = {3, 4, 5 ,6}

As we know that, if A and B are two sets then A ∩ B = {x : x ∈ A and x ∈ B}

⇒  A ∩ B = {3, 4}

As we know that, any set which contains a finite number of elements is said to be a finite set.

We can see that A ∩ B contains a finite number of elements

i.e A ∩ B is a finite set.

Hence, option 1 is correct.