Solve the absolute-value inequality. Express the answer using interval notation.

Answer:
[tex] | \frac{x + 5}{2} | \geqslant 3[/tex]
[tex] \frac{x + 5}{2} \leqslant - 3 \: or \: \frac{x + 5}{2} \geqslant 3[/tex]
[tex]x + 5 \leqslant - 6 \: or \: x + 5 \geqslant 6[/tex]
[tex]x \leqslant - 11 \: or \: x \geqslant 1[/tex]
(-infinity, -11] U [1, infinity)