Question

Can someone help me solve this question?

Answer 1

First choice, namely `(AuuB)^c`

Explanation:

As `A={1,3,6,9,12,15,18}` and `B={2,9,11,20}`

`AuuB={1,2,3,6,9,11,12,15,18,20}`

and `AnnB={9}`

Let `C={4,5,7,8,10,13,14,16,17,19}`.

It is eveident that `C`

• has no element common with `AuuB` and
• `Cuu(AuuB)=U`

Hence `{4,5,7,8,10,13,14,16,17,19}` is complemetary set of `AuuB` and answer is `(AuuB)^c`