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

If A = [0, 6] and B = (2, 4), what is A \ B?

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Answer and explanation

Correct answer: [0, 2] ∪ [4, 6]

A \ B contains the elements of A that are not in B. Because B = (2, 4) is open, it contains every number strictly between 2 and 4 but does not contain 2 or 4. Both endpoints belong to A, so they remain after removing B. Therefore, A \ B = [0, 2] ∪ [4, 6], which is option A.

Tags

setsset-differenceintervalsendpoint notationOperations on Sets (UnionIntersectionDifference)operations on sets union intersection differenceMathematicsClass 10 MCQ

Frequently asked questions

What is the correct answer to this question?

[0, 2] ∪ [4, 6]

Why is this the correct answer?

A \ B contains the elements of A that are not in B. Because B = (2, 4) is open, it contains every number strictly between 2 and 4 but does not contain 2 or 4. Both endpoints belong to A, so they remain after removing B. Therefore, A \ B = [0, 2] ∪ [4, 6], which is option 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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