Chapter 3 - Section 3.5 - Equations of Lines - Exercise Set - Page 174: 86

$\left[ -12, \infty \right) $

Using $a(b+c)=ab+ac$ (or the Distributive Property), and using the properties of inequality, the solution to the given expression, $ -2(x+1)\le-x+10 ,$ is \begin{array}{l}\require{cancel} -2x-2\le-x+10 \\\\ -2x+x\le10+2 \\\\ -x\le12 \\\\ x\ge-12 .\end{array} Hence, the solution is $ \left[ -12, \infty \right) .$