# Chapter 1 - Summary Exercises - Reviewing a Chapter - Solving Linear and Absolute Value Equations and Inequalities: 26

$\left( -\infty,5 \right)$

#### Work Step by Step

Using the properties of inequality, the given inequality, $6-3(2-x)\lt2(1+x)+3 ,$ simplifies to \begin{array}{l}\require{cancel} 6-6+3x\lt2+2x+3 \\\\ 3x\lt2x+5 \\\\ 3x-2x\lt5 \\\\ x\lt5 .\end{array} Hence, the solution is $\left( -\infty,5 \right) .$

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