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Class 10MathematicsSetsThe Empty Set, Finite and Infinite Sets, Equal SetsEasyLevel 5

If A = {x ∈ ℕ : x is prime and x < 2}, what is A?

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Answer and explanation

Correct answer: ∅

The only natural number less than 2 is 1, assuming the usual positive-natural-number convention. However, 1 is not prime: a prime number has exactly two distinct positive divisors, whereas 1 has only one positive divisor. Thus no natural number satisfies both conditions, so A is the empty set, ∅.

Tags

setsempty-setprime-numbersnatural-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?

∅

Why is this the correct answer?

The only natural number less than 2 is 1, assuming the usual positive-natural-number convention. However, 1 is not prime: a prime number has exactly two distinct positive divisors, whereas 1 has only one positive divisor. Thus no natural number satisfies both conditions, so A is the empty set, ∅.

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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