What is the correct form of J={x: x∈N, x is greater than 2 and less than 9}?
Answer and explanation
Correct answer: J={3,4,5,6,7,8}
The governing idea is converting strict inequalities into a roster form. Greater than 2 means x>2, so 2 is excluded; less than 9 means x<9, so 9 is also excluded. The natural numbers between these boundaries are 3,4,5,6,7,8. Thus option B contains exactly the required members. The other options include one or both excluded endpoints.
Frequently asked questions
What is the correct answer to this question?
J={3,4,5,6,7,8}
Why is this the correct answer?
The governing idea is converting strict inequalities into a roster form. Greater than 2 means x>2, so 2 is excluded; less than 9 means x<9, so 9 is also excluded. The natural numbers between these boundaries are 3,4,5,6,7,8. Thus option B contains exactly the required members. The other options include one or both excluded endpoints.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Common Questions. Topic: General chapter practice.
