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

If A = (2, 7) and B = [5, 9], what is A ∪ B?

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Answer and explanation

Correct answer: (2, 9]

The intervals overlap from 5 to 7, so together they form one continuous interval. Set A begins just greater than 2, so 2 is excluded. Set B ends at 9 and includes 9, so 9 is included. Every number between these endpoints belongs to at least one set. Hence A ∪ B = (2, 9], making option A correct.

Tags

setsintervalsunionopen-and-closed-intervalsOperations on Sets (UnionIntersectionDifference)operations on sets union intersection differenceMathematicsClass 10 MCQ

Frequently asked questions

What is the correct answer to this question?

(2, 9]

Why is this the correct answer?

The intervals overlap from 5 to 7, so together they form one continuous interval. Set A begins just greater than 2, so 2 is excluded. Set B ends at 9 and includes 9, so 9 is included. Every number between these endpoints belongs to at least one set. Hence A ∪ B = (2, 9], making option A correct.

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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