If A = {2, 3, 5, 7}, what is A ∩ ∅?
Answer and explanation
Correct answer: ∅
An intersection contains elements common to both sets. The empty set has no elements at all, so no element of A can be common to A and ∅. Hence the identity property is A ∩ ∅ = ∅. The correct answer is option C. Option A is A itself, option B is the singleton set containing zero, and option D contains an element that is not present in the empty set.
Frequently asked questions
What is the correct answer to this question?
∅
Why is this the correct answer?
An intersection contains elements common to both sets. The empty set has no elements at all, so no element of A can be common to A and ∅. Hence the identity property is A ∩ ∅ = ∅. The correct answer is option C. Option A is A itself, option B is the singleton set containing zero, and option D contains an element that is not present in the empty set.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Operations on Sets (Union, Intersection, Difference).
