Answer
The solution set is the region shaded GRAY
.
Work Step by Step
$-2\leq x < 5$ means that
$\left\{\begin{array}{ll}
x\geq-2 & and\\
x<5 &
\end{array}\right.$ , $\quad $simultaneously
We will graph the solution region for each inequality.
1. (red)
$x=-2 \quad $solid line ( sign is $\geq )$,
... a vertical line passing through ($-2,0$)
Testing (0,0):$\quad 0 \geq-2 \quad ?$
Yes, shade the region containing (0,0)
2 (blue)
$x=5 \quad $dashed line ( sign is $< )$,
... a vertical line passing through $(5,0) $
Testing (0,0):$\quad 0 < 5 \quad ?$
Yes, shade the region containing (0,0)
The solution set is the region with BOTH shadings
The solution set is the region shaded GRAY
