Let W = {x : x ∈ N and x is less than the smallest two-digit number}. What is its roster form?
Answer and explanation
Correct answer: W = {1, 2, 3, 4, 5, 6, 7, 8, 9}
The smallest two-digit number is 10. The question asks for natural numbers strictly less than 10, and the stated convention is N = {1, 2, 3, ...}. Therefore the members are 1, 2, 3, 4, 5, 6, 7, 8 and 9. Zero is excluded because it is not in the given N, while 10 is excluded because the condition says less than 10. Thus option A is correct.
Frequently asked questions
What is the correct answer to this question?
W = {1, 2, 3, 4, 5, 6, 7, 8, 9}
Why is this the correct answer?
The smallest two-digit number is 10. The question asks for natural numbers strictly less than 10, and the stated convention is N = {1, 2, 3, ...}. Therefore the members are 1, 2, 3, 4, 5, 6, 7, 8 and 9. Zero is excluded because it is not in the given N, while 10 is excluded because the condition says less than 10. Thus option A is correct.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Number Systems. Topic: General chapter practice.
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