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Subjects
Class 10MathematicsSetsOperations on Sets (Union, Intersection, Difference)EasyLevel 18

If A = {x : x ∈ N and x is a factor of 18} and B = {2, 3, 6, 9}, what is A − B?

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Answer and explanation

Correct answer: {1, 18}

The natural-number factors of 18 are A = {1, 2, 3, 6, 9, 18}. The difference A − B keeps elements of A that are not in B. Since 2, 3, 6, and 9 are removed, the elements left are 1 and 18. Therefore, A − B = {1, 18}. The operation does not remove elements that are outside A.

Tags

setsset-differencefactorsset-builder-formOperations on Sets (UnionIntersectionDifference)operations on sets union intersection differenceMathematicsClass 10 MCQ

Frequently asked questions

What is the correct answer to this question?

{1, 18}

Why is this the correct answer?

The natural-number factors of 18 are A = {1, 2, 3, 6, 9, 18}. The difference A − B keeps elements of A that are not in B. Since 2, 3, 6, and 9 are removed, the elements left are 1 and 18. Therefore, A − B = {1, 18}. The operation does not remove elements that are outside A.

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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