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

$\left\{ x|x\ge\dfrac{64}{17} \right\} \text{ or } \left[ \dfrac{64}{17},\infty \right)$
Using the properties of inequality, the given inequality, $2(3+5x)\ge7(10-x) ,$ is equivalent to \begin{array}{l}\require{cancel} 6+10x\ge70-7x \\\\ 10x+7x\ge70-6 \\\\ 17x\ge64 \\\\ x\ge\dfrac{64}{17} .\end{array} Hence, the solution is $\left\{ x|x\ge\dfrac{64}{17} \right\} \text{ or } \left[ \dfrac{64}{17},\infty \right) .$