If A = {4, 5, 6}, what is ∅ − A?
Answer and explanation
Correct answer: ∅
For a difference X − Y, we retain elements that are in X but not in Y. Here the first set is ∅, which has no elements from the beginning. Since there is nothing in the first set to retain or remove, ∅ − A remains ∅, regardless of the elements in A. Therefore option B is correct. It is important not to reverse the order and confuse ∅ − A with A − ∅.
Frequently asked questions
What is the correct answer to this question?
∅
Why is this the correct answer?
For a difference X − Y, we retain elements that are in X but not in Y. Here the first set is ∅, which has no elements from the beginning. Since there is nothing in the first set to retain or remove, ∅ − A remains ∅, regardless of the elements in A. Therefore option B is correct. It is important not to reverse the order and confuse ∅ − A with A − ∅.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Operations on Sets (Union, Intersection, Difference).
