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

What is the correct form of S = {x : x ∈ N and x + 4 = 4}?

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Answer and explanation

Correct answer: S = ∅

Solving the equation x + 4 = 4 gives x = 0. Under the usual school convention, the natural numbers are 1, 2, 3, and so on, so 0 does not belong to N. Consequently, no natural number satisfies the given condition. Therefore S has no elements and S = ∅, the empty set.

Tags

setsempty setnatural numbersequationsThe 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?

S = ∅

Why is this the correct answer?

Solving the equation x + 4 = 4 gives x = 0. Under the usual school convention, the natural numbers are 1, 2, 3, and so on, so 0 does not belong to N. Consequently, no natural number satisfies the given condition. Therefore S has no elements and S = ∅, 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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