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Class 10MathematicsSetsOperations on Sets (Union, Intersection, Difference)EasyLevel 10

If A = {5, 10, 15} and B = {10, 20}, what is B − A?

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Answer and explanation

Correct answer: {20}

Set difference B−A means elements that belong to B but do not belong to A; the order matters. Starting with B={10,20}, remove 10 because it is also in A={5,10,15}. The remaining element is 20, which is not in A. Hence B−A={20}, so option B is correct. A−B would be a different set, namely {5,15}.

Tags

setsset-differenceordered-differenceoperations-on-setsOperations on Sets (UnionIntersectionDifference)operations on sets union intersection differenceMathematicsClass 10 MCQ

Frequently asked questions

What is the correct answer to this question?

{20}

Why is this the correct answer?

Set difference B−A means elements that belong to B but do not belong to A; the order matters. Starting with B={10,20}, remove 10 because it is also in A={5,10,15}. The remaining element is 20, which is not in A. Hence B−A={20}, so option B is correct. A−B would be a different set, namely {5,15}.

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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