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

$\left\{ x|x\le-10.875 \right\} \text{ or } \left( -\infty, -10.875 \right]$
Using the properties of inequality, the given inequality, $0.7(2+x)\ge1.1x+5.75 ,$ is equivalent to \begin{array}{l}\require{cancel} 1.4+0.7x\ge1.1x+5.75 \\\\ 0.7x-1.1x\ge5.75-1.4 \\\\ -0.4x\ge4.35 \\\\ x\le\dfrac{4.35}{-0.4} \\\\ x\le-10.875 .\end{array} Hence, the solution is $\left\{ x|x\le-10.875 \right\} \text{ or } \left( -\infty, -10.875 \right] .$