Question

If M = {1,2,3,4,5}, A ={2,4} then find
i) AUA'
ii)ANA'
iii) What do you notice​

Answer 1

Step-by-step explanation:

(i) It can be clearly seen from the Venn diagram that

A∪A

′

=U

(ii) ϕ

′

∩A=U∩A=A

∴ϕ

′

∩A=A

(iii) It can be clearly seen from the Venn diagram , there is no common portion between A and A' .

Hence, A∩A

′

=ϕ

(iv) U

′

∩A=ϕ∩A=ϕ

∴U

′

∩A=ϕ