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Subjects
Class 10MathematicsSetsEqual sets and SubsetsMediumLevel 7

If A = [2, 8] and B = (2, 8), which statement is correct?

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Answer and explanation

Correct answer: B ⊆ A

The closed interval A includes every number from 2 to 8, including both endpoints. The open interval B contains only numbers strictly between 2 and 8, so it excludes 2 and 8. Every element of B is nevertheless an element of A; hence B ⊆ A. The intervals are not equal and 2 is not in B.

Tags

setsopen intervalclosed intervalsubset relationEqual sets and SubsetsMathematicsClass 10 MCQ

Frequently asked questions

What is the correct answer to this question?

B ⊆ A

Why is this the correct answer?

The closed interval A includes every number from 2 to 8, including both endpoints. The open interval B contains only numbers strictly between 2 and 8, so it excludes 2 and 8. Every element of B is nevertheless an element of A; hence B ⊆ A. The intervals are not equal and 2 is not in B.

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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