Question

If S is the set of whole numbers from 1 to 25, A is the set of multiples of 3, and B is the set of multiples of 4, then find A ∩ B.

Answer 1

Given:

S={1, 2, 3, 4, 5, ........ 25}

A={3, 6, 9, 12, 15, 18, 21, 24}

B={4, 8, 12, 16, 20, 24}

To find:

`A\cap B`

The intersection denotes the common terms between the sets A and B.

So, the answer is,

`A\cap B=\mleft\lbrace12,24\mright\rbrace`