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Class 10MathematicsSetsThe Empty Set, Finite and Infinite Sets, Equal SetsEasyLevel 2

If A = {x : x + 1 = 1 and x is a natural number}, then what is A?

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Answer and explanation

Correct answer: A = ∅

Solving x + 1 = 1 gives x = 0. Under the usual school convention used here, natural numbers are 1, 2, 3, ...; therefore 0 is not a natural number. No value satisfies both conditions simultaneously, so A contains no element and is the empty set, written as ∅. Thus option C is correct.

Tags

setsempty-setnatural-numbersset-builder-formThe 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?

A = ∅

Why is this the correct answer?

Solving x + 1 = 1 gives x = 0. Under the usual school convention used here, natural numbers are 1, 2, 3, ...; therefore 0 is not a natural number. No value satisfies both conditions simultaneously, so A contains no element and is the empty set, written as ∅. Thus option C is correct.

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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