If T={x:x is an odd natural number between 1 and 10}, which is the correct roster form?
Answer and explanation
Correct answer: T={3,5,7,9}
The phrase “between 1 and 10” is interpreted strictly, so both endpoints are excluded. The odd natural numbers strictly inside the interval are 3, 5, 7, and 9. Although 1 is odd, it is an excluded endpoint; 10 is even and cannot be included. Therefore T={3,5,7,9}, which is option B.
Frequently asked questions
What is the correct answer to this question?
T={3,5,7,9}
Why is this the correct answer?
The phrase “between 1 and 10” is interpreted strictly, so both endpoints are excluded. The odd natural numbers strictly inside the interval are 3, 5, 7, and 9. Although 1 is odd, it is an excluded endpoint; 10 is even and cannot be included. Therefore T={3,5,7,9}, which is option B.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Number Systems.
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