Question

Find A ∩ B if A = {2, 5, 8, 11, 14} and B = {1, 3, 5, 7}.

O
{5}
{1, 2, 3, 5, 7, 8, 11, 14}

Answer 1

Option 2 -
`A\cap B=\{5\}`

Explanation:

Given : A = {2, 5, 8, 11, 14} and B = {1, 3, 5, 7}.

To find :
`A\cap B` ?

Solution :

The intersection of two sets A and B is the set containing all elements of A that also belong to B and nothing else.

A = {2, 5, 8, 11, 14}

B = {1, 3, 5, 7}

The common elements are 5.

So,
`A\cap B=\{5\}`

Therefore, Option 2 is correct.

Answer 2

{5}

Explanation:

`A=\{2,\ 5,\ 8,\ 11,\ 14\}\\\\B=\{1,\ 3,\ 5,\ 7\}\\\\A\ \cap\ B-\text{the intersection of two sets A and B,}\\\text{ is the set that contains all elements of A that also belong to B.}\\\\\text{Therefore:}\ A\ \cap\ B=\{5\}`