If B ⊆ A, what is B \ A?
Answer and explanation
Correct answer: ∅
The difference B \ A consists of elements that belong to B but do not belong to A. However, B ⊆ A means every element of B is already an element of A. Consequently, there is no element of B left outside A, so B \ A = ∅. The other options are not forced by the subset condition and may have completely different elements or sizes.
Frequently asked questions
What is the correct answer to this question?
∅
Why is this the correct answer?
The difference B \ A consists of elements that belong to B but do not belong to A. However, B ⊆ A means every element of B is already an element of A. Consequently, there is no element of B left outside A, so B \ A = ∅. The other options are not forced by the subset condition and may have completely different elements or sizes.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Operations on Sets (Union, Intersection, Difference).
