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A={5,10,15,20,25,30} and B={10,20,30,40}. What is A−B?

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Answer and explanation

Correct answer: {5,15,25}

The difference A−B contains elements that are in A but not in B. From A, the elements 10, 20, and 30 also occur in B, so they must be removed. The remaining elements are 5, 15, and 25. Therefore A−B={5,15,25}, making option C correct. Option A is the common part, and option D is the union.

Tags

setsset differencevenn diagramsoperations on setscardinalityOperations on Sets (UnionIntersectionDifference)operations on sets union intersection differenceMathematics

Frequently asked questions

What is the correct answer to this question?

{5,15,25}

Why is this the correct answer?

The difference A−B contains elements that are in A but not in B. From A, the elements 10, 20, and 30 also occur in B, so they must be removed. The remaining elements are 5, 15, and 25. Therefore A−B={5,15,25}, making option C correct. Option A is the common part, and option D is the union.

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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