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Question detail

Which set is represented by the set-builder notation A = {x | x ∈ ℕ ∧ x ≥ 1}?

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MCQ

Type

practice

Style

Topic

Regular languages

Exam-style question

Try this first

Which set is represented by the set-builder notation A = {x | x ∈ ℕ ∧ x ≥ 1}?.

  1. A.The natural numbers greater than or equal to 1
  2. B.The natural numbers less than or equal to 1
  3. C.The real numbers greater than or equal to 1
  4. D.The natural numbers greater than 1 only

Model answer

What a good answer should say

  • The natural numbers greater than or equal to 1

Explanation

Why this works

The symbol | means 'such that', ∈ means 'is a member of', and ∧ means 'AND'. Therefore, the set contains natural numbers x where x is at least 1: {1, 2, 3, 4, …}.

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