Using properties of sets, show that:
(i) A ∪ (A ∩ B) = A
(ii) A ∩ (A ∪ B) = A.
(i) We have to show that:
Now, we know that:
∴ 
(i)
Also, we have:
(ii)
Hence, by using equation (i) and (ii) we have:
(ii) We have to show that:
= 
12
Using properties of sets, show that:
(i) A ∪ (A ∩ B) = A
(ii) A ∩ (A ∪ B) = A.
(i) We have to show that:
Now, we know that:
∴ (i)
Also, we have:
(ii)
Hence, by using equation (i) and (ii) we have:
(ii) We have to show that:
=