Which of the following intervals is a subset of [0, 10]?
Answer and explanation
Correct answer: (2, 8]
For an interval to be a subset of [0, 10], every one of its numbers must lie between 0 and 10, including the permitted endpoint conditions. Every number in (2, 8] is greater than 0 and no greater than 8, so it lies completely inside [0, 10]. The other intervals contain numbers below 0 or above 10, so they cannot be subsets.
Frequently asked questions
What is the correct answer to this question?
(2, 8]
Why is this the correct answer?
For an interval to be a subset of [0, 10], every one of its numbers must lie between 0 and 10, including the permitted endpoint conditions. Every number in (2, 8] is greater than 0 and no greater than 8, so it lies completely inside [0, 10]. The other intervals contain numbers below 0 or above 10, so they cannot be subsets.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Equal sets and Subsets.
