If A = {9, 18, 27}, what is A − ∅?
Answer and explanation
Correct answer: {9, 18, 27}
The difference A − B contains the elements of A that are not in B. In this problem, B is the empty set, which contains no elements to remove from A. Therefore no element is deleted, and A − ∅ = A = {9, 18, 27}. Thus option A is correct. The result would be empty only if every element of A were removed by the second set.
Frequently asked questions
What is the correct answer to this question?
{9, 18, 27}
Why is this the correct answer?
The difference A − B contains the elements of A that are not in B. In this problem, B is the empty set, which contains no elements to remove from A. Therefore no element is deleted, and A − ∅ = A = {9, 18, 27}. Thus option A is correct. The result would be empty only if every element of A were removed by the second 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).