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Subjects
Class 10MathematicsSetsEqual sets and SubsetsMediumLevel 7

If A = (2, 8) and B = (4, 6), which statement is correct?

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Answer and explanation

Correct answer: B ⊆ A

Every number strictly between 4 and 6 is also strictly between 2 and 8. Therefore each element of B belongs to A, so B ⊆ A. The intervals are not equal because A contains additional numbers such as 3 and 7. Their intersection is B, not the empty set, so option B is the only correct statement.

Tags

setsintervalssubset relationintersectionEqual sets and SubsetsMathematicsClass 10 MCQ

Frequently asked questions

What is the correct answer to this question?

B ⊆ A

Why is this the correct answer?

Every number strictly between 4 and 6 is also strictly between 2 and 8. Therefore each element of B belongs to A, so B ⊆ A. The intervals are not equal because A contains additional numbers such as 3 and 7. Their intersection is B, not the empty set, so option B is the only correct statement.

Which subject and chapter does this question cover?

This is a Class 10 Mathematics question. Chapter: Sets. Topic: Equal sets and Subsets.

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