Consider the following statements for the two non-empty sets A and B:
1) (A ∩ B) ∪ (A ∩ B̅) ∪ (A̅ ∩ B) = A ∪ B
2) (A ∪ (A̅ ∩ B̅)) = A ∪ B
Which of the above statements is/are correct?1
1 only
2
2 only
3
Both 1 and 2
4
Neither 1 nor 2
Consider the following statements for the two non-empty sets A and B:
1) (A ∩ B) ∪ (A ∩ B̅) ∪ (A̅ ∩ B) = A ∪ B
2) (A ∪ (A̅ ∩ B̅)) = A ∪ B
Which of the above statements is/are correct?