tmua 2022 Q10

tmua · Uk · paper2 1 marks Proof True/False Justification

Which of the following statements is/are true?
I For all real numbers $x$ and for all positive integers $n , x < n$ II 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 $n , x < n$
A none of them
B I only
C II only
D III only
E I and II only F I and III only G II and III only H I, II and III

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Which of the following statements is/are true?

I For all real numbers $x$ and for all positive integers $n , x < n$\\
II 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 $n , x < n$

A none of them\\
B I only\\
C II only\\
D III only\\
E I and II only\\
F I and III only\\
G II and III only\\
H I, II and III

Paper Questions

Q1 Q2 Q3 Q4 Q5 Q6 Q7 Q8 Q9 Q10 Q11 Q12 Q13 Q14 Q15 Q16 Q17 Q18 Q19 Q20