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Subjects

Which interval does not include either endpoint?

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Answer and explanation

Correct answer: (a, b)

Parentheses indicate that the adjacent endpoint is excluded. Therefore, the interval (a, b) contains all real numbers strictly between a and b, but it contains neither a nor b. It is called an open interval. The other options use at least one square bracket, so each of them includes one or both endpoints and cannot be correct.

Tags

setsopen_intervalendpoint_exclusioninterval_notationreal_numbersSets and their representationsMathematicsClass 10 MCQ

Frequently asked questions

What is the correct answer to this question?

(a, b)

Why is this the correct answer?

Parentheses indicate that the adjacent endpoint is excluded. Therefore, the interval (a, b) contains all real numbers strictly between a and b, but it contains neither a nor b. It is called an open interval. The other options use at least one square bracket, so each of them includes one or both endpoints and cannot be correct.

Which subject and chapter does this question cover?

This is a Class 10 Mathematics question. Chapter: Sets. Topic: Sets and their representations.

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