Question

if x < -3/5 and y > -2/7, find two rational numbers between x and y.​

Answer 1

$\text { Let } \mathrm{p} \text { be a rational number between }-\frac{3}{5} \text { and }-\frac{2}{7}\\\mathrm{p}=\frac{-\frac{3}{5}+\left(-\frac{2}{7}\right)}{2}$

P = $=-\frac{31}{70}$

$\text { Let } \mathrm{m} \text { be an another rational number between }-\frac{2}{5} \text { and }-\frac{31}{70}$

$\mathrm{m}=\frac{-\frac{3}{5}+\left(-\frac{31}{70}\right)}{2}$= $=-\frac{73}{140}$

Hence, required two rational numbers are

$\left(-\frac{31}{70}\right),\left(-\frac{73}{140}\right)$