Question

Solve for x: -8 < 3x +1 < 13

Answer 1

$\large\displaystyle\text{ \begin{gathered}\sf \boldsymbol{\sf{-8 < 3x+1 < 13 }} \end{gathered} }$

$\large\displaystyle\text{ \begin{gathered}\sf \boldsymbol{\sf{-8+-1 < 3x+1+-1 < 13+-1 \ (Add \ -1 \ to \ all \ parts) }} \end{gathered} }$

$\large\displaystyle\text{ \begin{gathered}\sf \boldsymbol{\sf{\frac{-9}{3} < \frac{3x}{3} < \frac{12}{3} \ (Divide \ all \ parts \ by \ 3) }} \end{gathered} }$

$\red{\boxed{\large\displaystyle\text{ \begin{gathered}\sf \boldsymbol{\sf{-3 < x < 4 }} \end{gathered} } }}$