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If A = {1, 2, 3, 4} and B = {2, 4, 6, 8}, which element is in A − B?

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Answer and explanation

Correct answer: 3

The difference A − B consists of elements that are in A but not in B. The elements 2 and 4 occur in both sets, so they are excluded from A − B. The element 3 is in A and does not occur in B, while 6 is not in A at all. Thus A − B = {1, 3}, and 3 is the only listed element belonging to this difference. Option C is correct.

Tags

setsdifferencemembershipset operationsOperations on Sets (UnionIntersectionDifference)operations on sets union intersection differenceMathematicsClass 10 MCQ

Frequently asked questions

What is the correct answer to this question?

3

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 4 occur in both sets, so they are excluded from A − B. The element 3 is in A and does not occur in B, while 6 is not in A at all. Thus A − B = {1, 3}, and 3 is the only listed element belonging to this difference. Option C 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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