Question

Write in roster form the set of all rational numbers between 1 and 0. Is it an infinite set?

Answer 1

$$\begin{gathered} \mathrm{We}\mathrm{know},\mathrm{there}\mathrm{are}\mathrm{infinitely}\mathrm{many}\mathrm{rational}\mathrm{numbers}\mathrm{between}\mathrm{two}\mathrm{number}. \\ \mathrm{So}\mathrm{set}\mathrm{of}\mathrm{all}\mathrm{rational}\mathrm{numbers}\mathrm{between}0\mathrm{and}1\mathrm{will}\mathrm{be}\mathrm{infinite}\mathrm{set}. \\ \mathrm{In}\mathrm{roster}\mathrm{form}:\{\frac{1}{1000},\frac{2}{1000},\frac{3}{1000},...,\frac{1}{10},\frac{2}{10},...\} \end{gathered}$$