Let A = {2,4,6,8,10,12} and B = {6,8,12,14}. What is A − B?
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Answer and explanation
Correct answer: {2,4,10}
The difference A − B contains elements that are in A but not in B. From A, the elements 6, 8, and 12 also occur in B, so they must be removed. The remaining elements are 2, 4, and 10. The element 14 is not in A, so it cannot belong to A − B. Therefore, option A is correct.
Frequently asked questions
What is the correct answer to this question?
{2,4,10}
Why is this the correct answer?
The difference A − B contains elements that are in A but not in B. From A, the elements 6, 8, and 12 also occur in B, so they must be removed. The remaining elements are 2, 4, and 10. The element 14 is not in A, so it cannot belong to A − B. Therefore, option A is correct.
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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