If U = {1, 2, ..., 16}, A = {1, 2, 4, 8, 16}, and B = {2, 4, 6, 8, 10, 12, 14, 16}, then B - A is equal to:
Answer and explanation
Correct answer: B ∩ A'
The set difference B − A means the elements that are in B but not in A. By definition, “not in A” is represented by the complement A' relative to U. Intersecting B with A' keeps exactly those members of B outside A, so B − A = B ∩ A'. For these sets, the actual elements are {6, 10, 12, 14}, which confirms the identity. The union or the other intersections select different regions.
Frequently asked questions
What is the correct answer to this question?
B ∩ A'
Why is this the correct answer?
The set difference B − A means the elements that are in B but not in A. By definition, “not in A” is represented by the complement A' relative to U. Intersecting B with A' keeps exactly those members of B outside A, so B − A = B ∩ A'. For these sets, the actual elements are {6, 10, 12, 14}, which confirms the identity. The union or the other intersections select different regions.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Complement of a Set and Its Properties.
