If U = {x : x is a natural number and x is a factor of 1}, what kind of set is U?
Answer and explanation
Correct answer: Singleton set
The governing concept is the definition of a factor and the classification of sets by cardinality. A factor of 1 must divide 1 exactly, and among natural numbers only 1 does so. Therefore U = {1}, which contains exactly one element. A set with one member is called a singleton set, so option A is correct; it is neither empty, infinite, nor a two-element set.
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What is the correct answer to this question?
Singleton set
Why is this the correct answer?
The governing concept is the definition of a factor and the classification of sets by cardinality. A factor of 1 must divide 1 exactly, and among natural numbers only 1 does so. Therefore U = {1}, which contains exactly one element. A set with one member is called a singleton set, so option A is correct; it is neither empty, infinite, nor a two-element set.
Which subject and chapter does this question cover?
This is a Class 11 Geography question. Chapter: Composition and Structure of Atmosphere. Topic: Elements of the atmosphere.
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