## Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

$\left\{ x|x\lt-\dfrac{2}{5} \right\} \text{ or } \left( -\infty, -\dfrac{2}{5} \right)$
Using the properties of inequality, the given inequality, $2(x+5)\lt8-3x ,$ is equivalent to \begin{array}{l}\require{cancel} 2x+10\lt8-3x \\\\ 2x+3x\lt8-10 \\\\ 5x\lt-2 \\\\ x\lt-\dfrac{2}{5} .\end{array} Hence, the solution is $\left\{ x|x\lt-\dfrac{2}{5} \right\} \text{ or } \left( -\infty, -\dfrac{2}{5} \right) .$