## Intermediate Algebra (12th Edition)

$m\lt6$
Use the Distributive Property and the properties of inequality to solve the given inequality, $2(m+5)-3m+1\gt5 .$ Using $a(b+c)=ab+ac$ or the Distributive Property, the inequality above is equivalent to \begin{array}{l}\require{cancel} 2m+10-3m+1\gt5 .\end{array} Using the properties of inequality, the solution to the inequality above is \begin{array}{l}\require{cancel} 2m-3m\gt5-10-1 \\\\ -m\gt-6 \\\\ \dfrac{-m}{-1}\lt\dfrac{-6}{-1} \\\\ m\lt6 .\end{array}