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Subjects
Class 10MathematicsSetsThe Empty Set, Finite and Infinite Sets, Equal SetsEasyLevel 4

The set A = {x : x is an even prime number} is equal to which set?

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Answer and explanation

Correct answer: {2}

A prime number has exactly two positive divisors: 1 and the number itself. The only even number with this property is 2; every other even number is divisible by 2 and has additional divisors. Thus the set of even prime numbers contains exactly one element, 2, and is therefore A = {2}.

Tags

setsprime-numbersfinite-setsingleton-setThe 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?

{2}

Why is this the correct answer?

A prime number has exactly two positive divisors: 1 and the number itself. The only even number with this property is 2; every other even number is divisible by 2 and has additional divisors. Thus the set of even prime numbers contains exactly one element, 2, and is therefore A = {2}.

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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