Question

Given $x\in$ {integers}, find the solution set of : $-5\le 2x-3<x+2$.

Answer 1

$\left(i\right)-5\le 2x-3$

$-2\le 2x$

$-1\le x$

$x\ge -1$

$x\epsilon \{-1,0,1,....\}$

$\left(ii\right)2x-3<x+2$

$x<5$

$x\epsilon \{....,-2,-\mathrm{1....},2,3,4\}$

$from\left(i\right)\&\left(ii\right)$

$x\epsilon \{-1,0,1,2,3,4\}$