Choose the roster form of H={x: x is a natural number and 5<x<9}.
Answer and explanation
Correct answer: H={6,7,8}
The set-builder condition requires a natural number x to be strictly greater than 5 and strictly less than 9. Checking the integers between the two endpoints gives 6, 7, and 8. Because both inequality signs are strict, neither 5 nor 9 belongs to H. Therefore the correct roster form is {6,7,8}, which is option B. The other choices include one or both excluded endpoints.
Frequently asked questions
What is the correct answer to this question?
H={6,7,8}
Why is this the correct answer?
The set-builder condition requires a natural number x to be strictly greater than 5 and strictly less than 9. Checking the integers between the two endpoints gives 6, 7, and 8. Because both inequality signs are strict, neither 5 nor 9 belongs to H. Therefore the correct roster form is {6,7,8}, which is option B. The other choices include one or both excluded endpoints.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Number Systems. Topic: General chapter practice.
