Question Detail

MTH 101 MTH 101 Past Questions Objective Question

Question

Which of the following is always true for any set A?
Options
A A ∩ ∅ = A
B A ∪ ∅ = ∅
C A ∩ A = A
Correct Answer
D A ∪ A = ∅
Correct Answer

Option C is the correct answer.

Detailed Explanation

The intersection of a set with itself is the set itself: A ∩ A = A.

Hint

The notes indicate answer C.

Question Info