

InterviewSolution
Saved Bookmarks
1. |
Determine whether statement are true or false. Justify your answer.For all sets A and B, (A – B) ∪ (A ∩ B) = A |
Answer» True According to the question, There are two sets A and B To check: (A – B) ∪ (A ∩ B) = A is true or false L.H.S = (A – B) ∪ (A ∩ B) Since, A – B = A ∩ B’, We get, = (A ∩ B’) ∪ (A ∩ B) Using distributive property of set: We get, (A ∩ B) ∪ (A ∩ C) = A ∩ (B ∪ C) = A ∩ (B’ ∪ B) = A ∩ U = A = R.H.S Hence, the given statement “for all sets A and B, (A – B) ∪ (A ∩ B) = A” is true |
|