TMUA 2022 Paper 2 Q10 — Worked Solution

P2·Logic & Quantifiers·6.5Official · 2022 · Q10

nested-quantifiersorder-of-quantifiersarchimedean

Which of the following statements is/are true?

For all real numbers

x

and for all positive integers

n

x < n

For all real numbers

x

, there exists a positive integer

n

such that

x < n

III

There exists a real number

x

such that for all positive integers

n

x < n

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