## Intermediate Algebra (6th Edition)

$\left( -\infty,\infty \right)$
Using the properties of inequality, the expression $4(x-1)\ge4x-8$ simplifies to \begin{array}{l} 4x-4\ge4x-8\\ 4x-4x\ge-8+4\\ 0\ge-4 \text{ (TRUE)} .\end{array} Since the solution above ended with a TRUE statement, then the solution set is the set of all real numbers. In interval notation, the solution set is $\left( -\infty,\infty \right)$.