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

If A = {x : x ∈ ℕ and x + 5 = 5}, what kind of set is A?

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Answer and explanation

Correct answer: Empty set

The equation x + 5 = 5 gives x = 0. In this question, the usual school convention ℕ = {1, 2, 3, ...} is being used, so 0 is not a natural number. Consequently, no natural number satisfies the condition, and A has no elements. Therefore A is the empty set, written as ∅.

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?

Empty set

Why is this the correct answer?

The equation x + 5 = 5 gives x = 0. In this question, the usual school convention ℕ = {1, 2, 3, ...} is being used, so 0 is not a natural number. Consequently, no natural number satisfies the condition, and A has no elements. Therefore A is the empty set, written as ∅.

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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