

InterviewSolution
Saved Bookmarks
1. |
Let A = {1, 2, 4, 5} B = {2, 3, 5, 6} C = {4, 5, 6, 7}. Verify the following identities: A ∩ (B – C) = (A ∩ B) – (A ∩ C) |
Answer» B–C is defined as {x ϵ B : x ∉ C} B = {2, 3, 5, 6} C = {4, 5, 6, 7} B–C = {2, 3} (A ∩ (B – C)) = {x:x ϵ A and x ϵ (B – C)} = {2} R.H.S: (A ∩ B) = {x:x ϵ A and x ϵ B} = {2, 5} (A ∩ C) = {x:x ϵ A and x ϵ C} = {4, 5} (A ∩ B) – (A ∩ C) is defined as {x ϵ (A ∩ B) : x ∉ (A ∩ C)} = {2}. Hence Verified. |
|