Which interval is a subset of [2, 8]?
Answer and explanation
Correct answer: [3, 7]
An interval is a subset of [2, 8] only when every one of its points lies between 2 and 8, including endpoint conditions. The interval [3, 7] is entirely contained inside [2, 8], and both of its endpoints are valid members of the larger interval. Option A includes numbers below 2, option C includes numbers below 2, and option D includes numbers greater than 8. Therefore option B is correct.
Frequently asked questions
What is the correct answer to this question?
[3, 7]
Why is this the correct answer?
An interval is a subset of [2, 8] only when every one of its points lies between 2 and 8, including endpoint conditions. The interval [3, 7] is entirely contained inside [2, 8], and both of its endpoints are valid members of the larger interval. Option A includes numbers below 2, option C includes numbers below 2, and option D includes numbers greater than 8. Therefore option B is correct.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Power Set and Subsets.
