Chapter 8.5, Problem 5CVC

Fill in each blank so that the resulting statement is true.

Consider the rational inequality

$\frac{x-1}{x+2}\ge 0.$

Setting the numerator and the denominator of $\frac{x-1}{x+2}$ equal to zero, we obtain $x=1$ and $x=-2$. These values are shown as points on the number line. Also shown is information about three test values.

Based on the information shown above, the solution set of $\frac{x-1}{x+2}\ge 0$ is ___________.