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Subjects

Which number belongs to the interval (-1, 1)?

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Answer and explanation

Correct answer: 0

The interval (-1, 1) is an open interval, so it contains all real numbers strictly greater than -1 and strictly less than 1. The endpoints -1 and 1 are excluded because parentheses are used. The number 0 lies between these endpoints, so it belongs to the interval. The numbers 1, -1, and 2 do not satisfy the required strict bounds.

Tags

setsopen_intervalnumber_lineinterval_membershipreal_numbersrepresentation on number lineLinear InequalitiesMathematics

Frequently asked questions

What is the correct answer to this question?

0

Why is this the correct answer?

The interval (-1, 1) is an open interval, so it contains all real numbers strictly greater than -1 and strictly less than 1. The endpoints -1 and 1 are excluded because parentheses are used. The number 0 lies between these endpoints, so it belongs to the interval. The numbers 1, -1, and 2 do not satisfy the required strict bounds.

Which subject and chapter does this question cover?

This is a Class 12 Mathematics question. Chapter: Linear Inequalities. Topic: representation on number line.

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