Which number belongs to the interval (1, 4)?
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Answer and explanation
Correct answer: 3
The open interval (1, 4) contains all real numbers strictly greater than 1 and strictly less than 4. Its endpoints, 1 and 4, are excluded because round parentheses are used. The number 3 lies between the endpoints, so 3 belongs to the interval. The numbers 1, 4, and 5 do not satisfy both strict inequalities.
Frequently asked questions
What is the correct answer to this question?
3
Why is this the correct answer?
The open interval (1, 4) contains all real numbers strictly greater than 1 and strictly less than 4. Its endpoints, 1 and 4, are excluded because round parentheses are used. The number 3 lies between the endpoints, so 3 belongs to the interval. The numbers 1, 4, and 5 do not satisfy both strict inequalities.
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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