Question

8. Let U=(3, 6, 9, 12, 15, 18, 21, 24) be the universal set and let
A = {6, 12, 18, 24) be its subset.
Verify that: (i) AUA=A
(ii) An A=A
(iv) AU A'=U (u) (A') = A
(iii) A
A
=0​

Answer 1

Answer:

AUA= {6,12,18,24} U {6,12,18,24} = {6,12,18,24}=A

AnA ={6,12,18,24}n{6,12,18,24}={6,12,18,24}=A

AUA'= {6,12,18,24}U{3,9,15,21}={3,6,9,12,15,18,21,27}=U