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Subjects

Which of the following sets is not empty?

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Answer and explanation

Correct answer: C = {x : x is a natural number less than 3}

A is empty because 2 is even, not odd. B is empty because a square cannot have three sides. Under the usual school convention, natural numbers are 1, 2, 3, and so on; therefore, the natural numbers less than 3 are 1 and 2. D is empty because no natural number is less than 0. Hence C is non-empty.

Tags

setsempty-setnatural-numbersThe Empty SetFinite and Infinite SetsEqual Setsthe empty set finite and infinite sets equal setsMathematicsClass 10 MCQ

Frequently asked questions

What is the correct answer to this question?

C = {x : x is a natural number less than 3}

Why is this the correct answer?

A is empty because 2 is even, not odd. B is empty because a square cannot have three sides. Under the usual school convention, natural numbers are 1, 2, 3, and so on; therefore, the natural numbers less than 3 are 1 and 2. D is empty because no natural number is less than 0. Hence C is non-empty.

Which subject and chapter does this question cover?

This is a Class 10 Mathematics question. Chapter: Sets. Topic: The Empty Set, Finite and Infinite Sets, Equal Sets.

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