**(i)** To show: A ∪ (A ∩ B) = A

We know that,

A ⊂ A

A ∩ B ⊂ A

A ∪ (A ∩ B) ⊂ A .............(i)

Also, according to the question,

We have:

A⊂ A ∪ (A ∩ B)............... (ii)

Hence, from equation (i) and (ii)

We have:

A ∪ (A ∩ B) = A

**(ii) **To show,

A ∩ (A ∪ B) = A

A ∩ (A ∪ B) = (A ∩ A) ∪ (A ∩ B)

= A ∪ (A ∩ B)

= A

Answered by Pragya Singh | 1 year agoFind the symmetric difference A Δ B, when A = {1, 2, 3} and B = {3, 4, 5}.