If A = {1, 2, 3, 4, 5, 6} and B = {2, 4, 6}, what is B − A?
Answer and explanation
Correct answer: ∅
The difference B − A contains the elements that are present in B but absent from A. Here, B = {2, 4, 6}, and every one of these elements is also present in A. Therefore, no element remains after removing from B the elements common with A, so B − A = ∅. Option B is only B itself and ignores the subtraction operation.
Frequently asked questions
What is the correct answer to this question?
∅
Why is this the correct answer?
The difference B − A contains the elements that are present in B but absent from A. Here, B = {2, 4, 6}, and every one of these elements is also present in A. Therefore, no element remains after removing from B the elements common with A, so B − A = ∅. Option B is only B itself and ignores the subtraction operation.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Operations on Sets (Union, Intersection, Difference).
