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If F={x: x∈N and x+3=8}, what type of set is F?
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Answer and explanation
Correct answer: Singleton set
Solve the defining equation: x+3=8 gives x=5. Since 5 is a natural number, it satisfies the domain condition and belongs to F. There is exactly one solution, so F={5} and its cardinality is 1. A set with exactly one element is called a singleton set, making option B correct.
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What is the correct answer to this question?
Singleton set
Why is this the correct answer?
Solve the defining equation: x+3=8 gives x=5. Since 5 is a natural number, it satisfies the domain condition and belongs to F. There is exactly one solution, so F={5} and its cardinality is 1. A set with exactly one element is called a singleton set, making option B correct.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Common Questions.
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