What does the interval (2, 5) mean?
Answer and explanation
Correct answer: {x : 2 < x < 5}
The interval (2, 5) is an open interval because round parentheses are used at both ends. Therefore, 2 and 5 are not included, while every real number strictly between them is included. In set-builder notation, the interval is {x : 2 < x < 5}. For example, 3 and 4.9 belong to the interval, but 2 and 5 do not.
Frequently asked questions
What is the correct answer to this question?
{x : 2 < x < 5}
Why is this the correct answer?
The interval (2, 5) is an open interval because round parentheses are used at both ends. Therefore, 2 and 5 are not included, while every real number strictly between them is included. In set-builder notation, the interval is {x : 2 < x < 5}. For example, 3 and 4.9 belong to the interval, but 2 and 5 do not.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Sets and their representations.
