Answer
-8$\leq$x$\leq$8 or [-8,8]
Work Step by Step
-3$\leq$$\frac{x}{2}$+1$\leq$5
Multiply all by 2 and drop denominator of 2
-6$\leq$x+2$\leq$10
Take the 2 to both sides but the sign changes so its subtract 2 from both sides
-8$\leq$x$\leq$8