Intermediate Algebra (6th Edition)

Solving the inequalities separately, then \begin{array}{l}\require{cancel} 2x-1\ge3 \\\\ 2x\ge3+1 \\\\ 2x\ge4 \\\\ x\ge\dfrac{4}{2} \\\\ x\ge2 ,\\\\\text{AND}\\\\ -x\ge2 \\\\ x\le-2 .\end{array} There are no common values between $x\ge2$ and $x\le-2$. Hence, there is no solution.