Question

the sets of multiples of 2 and set of multiples of 3 are disjoint or not express your reason​

Answer 1

Answer :-

No

They are not disjoint sets.

Explanation :-

First let's understand about disjoint sets.

What are disjoint sets?

Any 2 sets are said to be disjoint when the intersection between them gives a null set.

In simple words, those 2 sets should not have any elements in common.

Now let's see whether the sets of multiples of 2 and 3 are disjoint or not.

Let

• A be the set of multiples of 2
• B be the set of multiples of 3

Write these 2 sets in set-builder form.

A = {2, 4, 6, 8...}

B = {3, 6, 9, 12...}

As we can observe in these 2 sets there is 6 common.

Similarly all the multiples of 6 would be present in both the sets.

So, the sets of multiples of 2 and multiples of 3 are not disjoint sets.