Which of the following is equal to A ∩ A?
Answer and explanation
Correct answer: A
The intersection contains elements present in both participating sets. When both sets are the same set A, every element of A is present in both copies, so A ∩ A = A. This is the idempotent law for intersection. The empty set, complement Aᶜ, and difference A − B are not generally equal to A without additional conditions.
Frequently asked questions
What is the correct answer to this question?
A
Why is this the correct answer?
The intersection contains elements present in both participating sets. When both sets are the same set A, every element of A is present in both copies, so A ∩ A = A. This is the idempotent law for intersection. The empty set, complement Aᶜ, and difference A − B are not generally equal to A without additional conditions.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Operations on Sets (Union, Intersection, Difference).
