Which interval includes both 2 and 5?
Answer and explanation
Correct answer: [2, 5]
In interval notation, a square bracket means that the endpoint is included, while a round bracket means that the endpoint is excluded. To include both 2 and 5, the interval must have a square bracket at both ends. Therefore [2, 5] is correct. The intervals (2, 5), [2, 5), and (2, 5] each exclude at least one endpoint, so none of them contains both numbers.
Frequently asked questions
What is the correct answer to this question?
[2, 5]
Why is this the correct answer?
In interval notation, a square bracket means that the endpoint is included, while a round bracket means that the endpoint is excluded. To include both 2 and 5, the interval must have a square bracket at both ends. Therefore [2, 5] is correct. The intervals (2, 5), [2, 5), and (2, 5] each exclude at least one endpoint, so none of them contains both numbers.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Sets and their representations.