Answer to Question #217079 in Differential Geometry | Topology for Prathibha Rose

Question

Determine the boundary of the set Q of all rational numbers in the real.line.R

Answer 1

$\text{The boundary of the set Q of rational numbers is the real line R because the }\\\text{$\epsilon$-neighbourhood of every point in R contains both rational and irrational} \\\text{numbers.}$