Which option represents a singleton set?
Answer and explanation
Correct answer: {x:x∈N, 2<x<4}
A singleton set is a set containing exactly one distinct element. Using the standard school convention N={1,2,3,...}, examine each condition. In option A, the natural number must be greater than 2 and less than 4, so the only possible value is x=3. Thus the set is {3}, which has exactly one element, making A correct. Option B allows 2, 3, and 4, so it has three elements. Option C allows x=1, but if a convention included zero in N it could contain 0 and 1; in either convention it is not safely a singleton under the stated school convention. Option D allows 1 and 2 because 1²<9 and 2²<9, so it has two elements. Therefore only A satisfies the definition.
Frequently asked questions
What is the correct answer to this question?
{x:x∈N, 2<x<4}
Why is this the correct answer?
A singleton set is a set containing exactly one distinct element. Using the standard school convention N={1,2,3,...}, examine each condition. In option A, the natural number must be greater than 2 and less than 4, so the only possible value is x=3. Thus the set is {3}, which has exactly one element, making A correct. Option B allows 2, 3, and 4, so it has three elements. Option C allows x=1, but if a convention included zero in N it could contain 0 and 1; in either convention it is not safely a singleton under the stated school convention. Option D allows 1 and 2 because 1²<9 and 2²<9, so it has two elements. Therefore only A satisfies the definition.
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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