If A = {2, 4, 6, 8} and B = {1, 2, 8, 9}, which elements belong only to A, that is, A − B?
Answer and explanation
Correct answer: {4, 6}
The difference A − B consists of elements that are in A but not in B. The elements 2 and 8 are common to both sets, so they must be removed from A. The remaining elements, 4 and 6, belong only to A. Thus A − B = {4, 6}. Option B is the intersection, option C contains elements only in B, and option D is the complete set A.
Frequently asked questions
What is the correct answer to this question?
{4, 6}
Why is this the correct answer?
The difference A − B consists of elements that are in A but not in B. The elements 2 and 8 are common to both sets, so they must be removed from A. The remaining elements, 4 and 6, belong only to A. Thus A − B = {4, 6}. Option B is the intersection, option C contains elements only in B, and option D is the complete set 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).
