If A = {2,3,4,5,6} and B = {4,6,8}, which element is in A ∪ B but not in A ∩ B?
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Answer and explanation
Correct answer: 5
The union is A ∪ B = {2,3,4,5,6,8}, while the intersection is A ∩ B = {4,6}. The element 5 belongs to A and therefore to the union, but it is not common to both sets, so it is absent from the intersection. Thus option A is correct. Elements 4 and 6 are in the intersection, and 10 is in neither set.
Frequently asked questions
What is the correct answer to this question?
5
Why is this the correct answer?
The union is A ∪ B = {2,3,4,5,6,8}, while the intersection is A ∩ B = {4,6}. The element 5 belongs to A and therefore to the union, but it is not common to both sets, so it is absent from the intersection. Thus option A is correct. Elements 4 and 6 are in the intersection, and 10 is in neither set.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Operations on Sets (Union, Intersection, Difference).
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