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If A = (1, 4), which of the following elements belongs to A?

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Answer and explanation

Correct answer: 3/2

The open interval (1, 4) contains every real number strictly greater than 1 and strictly less than 4. The number 3/2 equals 1.5, so it lies between 1 and 4 and belongs to A. The endpoints 1 and 4 are excluded because the interval uses round parentheses, while 5 lies outside the interval. Therefore B is the only correct choice.

Tags

interval-membershipopen-intervalfractionsreal-numbersEqual sets and SubsetsSetsMathematicsClass 10 MCQ

Frequently asked questions

What is the correct answer to this question?

3/2

Why is this the correct answer?

The open interval (1, 4) contains every real number strictly greater than 1 and strictly less than 4. The number 3/2 equals 1.5, so it lies between 1 and 4 and belongs to A. The endpoints 1 and 4 are excluded because the interval uses round parentheses, while 5 lies outside the interval. Therefore B is the only correct choice.

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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