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Subjects

If A = {9, 18, 27}, what is A − ∅?

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Answer and explanation

Correct answer: {9, 18, 27}

The difference A − B contains the elements of A that are not in B. In this problem, B is the empty set, which contains no elements to remove from A. Therefore no element is deleted, and A − ∅ = A = {9, 18, 27}. Thus option A is correct. The result would be empty only if every element of A were removed by the second set.

Tags

setsset-differenceempty-setidentity-propertyOperations on Sets (UnionIntersectionDifference)operations on sets union intersection differenceMathematicsClass 10 MCQ

Frequently asked questions

What is the correct answer to this question?

{9, 18, 27}

Why is this the correct answer?

The difference A − B contains the elements of A that are not in B. In this problem, B is the empty set, which contains no elements to remove from A. Therefore no element is deleted, and A − ∅ = A = {9, 18, 27}. Thus option A is correct. The result would be empty only if every element of A were removed by the second 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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