0
$\begingroup$

How to show that the given set is dense in $R$ (if true)?
SET: The set of all ration numbers ${p \over q}$ with $10|p| \ge q$ where $p \in \Bbb Z, q \in \Bbb N$.

As per definition, a set is considered dense in $\Bbb R$ if an element of the set can be found between any two real numbers ($a

  • 3
    Hint: $\frac{|p|}q\ge \frac1{10}$ – 2017-01-23
  • 0
    @HagenvonEitzen, So there can be no element of set that can be found for $x < 1/10 $ in $R$. Hence not dense in $R$. Correct ? – 2017-01-24

0 Answers 0