Prob. Prove that-
A∩(B∪C) = (A∩B) ∪ (A∩C)
Solution:
Let x ∈ A ∩ (B U C).
Then x ∈ A and x ∈ (B U C).
(x ∈ A and x ∈ B) or (x ∈ A and x ∈ c).
x ∈ (A and B) or x ∈ ( A and c).
x ∈ (A ∩ B) U ( A ∩ C).
Prob. Prove that-
A∩(B∪C) = (A∩B) ∪ (A∩C)
Solution:
Let x ∈ A ∩ (B U C).
Then x ∈ A and x ∈ (B U C).
(x ∈ A and x ∈ B) or (x ∈ A and x ∈ c).
x ∈ (A and B) or x ∈ ( A and c).
x ∈ (A ∩ B) U ( A ∩ C).