Intermediate Algebra (6th Edition)

$\left[ 2,\infty \right)$
Solving the inequalities separately, then, \begin{array}{l} x+2\ge3\\ x\ge1 ,\\\\\text{and}\\\\ 5x-1\ge9\\ 5x\ge10\\ x\ge2 .\end{array} Using the conjunction "and", then the solution set is the set common to both inequalities. Hence, the solution set is $\left[ 2,\infty \right)$.