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Subjects
Class 10MathematicsSetsOperations on Sets (Union, Intersection, Difference)EasyLevel 17

If U = {a, b, c, d, e}, A = {a, b, d}, and B = {b, c}, what is A − B?

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Answer and explanation

Correct answer: {a, d}

The difference A − B keeps elements that are in A but not in B. Starting with A = {a, b, d}, remove b because b also belongs to B = {b, c}. The element c is not in A and therefore has no effect, while a and d remain. Thus A − B = {a, d}. The universal set U is only the surrounding reference set.

Tags

setsdifferenceuniversal-setset-operationssubtraction-of-setsOperations on Sets (UnionIntersectionDifference)operations on sets union intersection differenceMathematics

Frequently asked questions

What is the correct answer to this question?

{a, d}

Why is this the correct answer?

The difference A − B keeps elements that are in A but not in B. Starting with A = {a, b, d}, remove b because b also belongs to B = {b, c}. The element c is not in A and therefore has no effect, while a and d remain. Thus A − B = {a, d}. The universal set U is only the surrounding reference set.

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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