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Which of the following is the correct representation of an idempotent theorem in sets?

74. Which of the following is the correct representation of an idempotent theorem in sets?

1. A ∩ A = A
2. A ∩ U = A
3. A ∩ B = B ∩ A
4. A ∩ ϕ = ϕ

Answer

The correct answer is: A) A ∩ A = A

Explanation

Set theory's idempotent theorem asserts that the intersection of a set with itself is the set itself. It is written as follows in Mathematical notation: A ∩ A = A

That is, any element that appears in both A and A is simply an element of A.