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Subjects
Class 10MathematicsSetsEqual sets and SubsetsEasyLevel 7

If A = [0, 2] and B = (0, 2), which relation is correct?

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Answer and explanation

Correct answer: B ⊆ A

A = [0, 2] contains all real numbers from 0 through 2, including both endpoints. B = (0, 2) contains only numbers strictly between 0 and 2, so it excludes 0 and 2. Every element of B is therefore an element of A, which proves B ⊆ A. The sets are not equal, and 0 is not an element of B because B is open at 0.

Tags

setsintervalssubset_relationopen_closed_intervalsEqual sets and SubsetsMathematicsClass 10 MCQ

Frequently asked questions

What is the correct answer to this question?

B ⊆ A

Why is this the correct answer?

A = [0, 2] contains all real numbers from 0 through 2, including both endpoints. B = (0, 2) contains only numbers strictly between 0 and 2, so it excludes 0 and 2. Every element of B is therefore an element of A, which proves B ⊆ A. The sets are not equal, and 0 is not an element of B because B is open at 0.

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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