Question

Solve the following equation:
$-8<-(3x-5)<13$

Answer 1

$-8<-(3x-5)<13$

Adding $-5$ on both sides,

$-8-5<-3x+5-5<13-5$

Or $-13<-3x<8$

Multiplying with $-1$ and reversing inequality sign,

$13>3x>-8$

Dividing by $3$, we have

$\frac{-8}{3}<x<\frac{13}{3}$

$\therefore$Solution set of $xϵ(\frac{-8}{3},\frac{13}{3})$