If A = {1, 3, 5, 7, 9} and B = {5, 7, 11}, what is the region that belongs only to A, that is, A − B?
Answer and explanation
Correct answer: {1, 3, 9}
The difference A − B contains elements that are present in A but absent from B. The elements 5 and 7 occur in both sets, so they must be removed from A. The remaining elements are 1, 3, and 9; therefore A − B = {1, 3, 9}. Option B is the intersection, option C belongs only to B, and option D is the union of the two sets.
Frequently asked questions
What is the correct answer to this question?
{1, 3, 9}
Why is this the correct answer?
The difference A − B contains elements that are present in A but absent from B. The elements 5 and 7 occur in both sets, so they must be removed from A. The remaining elements are 1, 3, and 9; therefore A − B = {1, 3, 9}. Option B is the intersection, option C belongs only to B, and option D is the union of the two sets.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Operations on Sets (Union, Intersection, Difference).
