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If A = {a, c, e} and B = {b, c, d, e}, which elements belong only to B, that is, B − A?

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Answer and explanation

Correct answer: {b, d}

To find B − A, retain the elements of B and remove every element that also belongs to A. Set B contains b, c, d, and e; c and e are common with A, so they are removed. The elements left only in B are b and d. Therefore B − A = {b, d}. Option A is the common part, while option D is the union of both sets.

Tags

setsset differenceVenn diagramsset operationsOperations on Sets (UnionIntersectionDifference)operations on sets union intersection differenceMathematicsClass 10 MCQ

Frequently asked questions

What is the correct answer to this question?

{b, d}

Why is this the correct answer?

To find B − A, retain the elements of B and remove every element that also belongs to A. Set B contains b, c, d, and e; c and e are common with A, so they are removed. The elements left only in B are b and d. Therefore B − A = {b, d}. Option A is the common part, while option D is the union of both sets.

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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