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

If A = [−2, 4] and B = (1, 6), what is A ∩ B?

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Answer and explanation

Correct answer: (1, 4]

The intersection contains numbers that belong to both intervals. The common range begins just greater than 1 because B excludes 1, so the left endpoint is open. The common range ends at 4, and 4 is included in A and also lies inside B because 1 < 4 < 6. Hence A ∩ B = (1, 4], making option A correct.

Tags

setsinterval notationintersectionreal numbersopen and closed intervalsOperations on Sets (UnionDifference)operations on sets union intersection differenceMathematics

Frequently asked questions

What is the correct answer to this question?

(1, 4]

Why is this the correct answer?

The intersection contains numbers that belong to both intervals. The common range begins just greater than 1 because B excludes 1, so the left endpoint is open. The common range ends at 4, and 4 is included in A and also lies inside B because 1 < 4 < 6. Hence A ∩ B = (1, 4], 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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