Question

what are the solutions of |x+6|>=5?
(this is equal to or greater than)

Answer 1

absolute value is removed by dividing by positive or negative
\[x >= -1\]
or \[x <= -11\]

Answer 2

\[\left\{ x|x \le -11 \right\}\cup \left\{ x|x \ge -1 \right\} or \left\{ x|x \le -11 \right\}\cup \left\{ x|x \ge -1 \right\} or \left\{ x|x \le-1\left\{ x|x \ge-11 \right\} \right\} or \left\{ x|x \le-1 \right\}\left\{ x|x \ge -11 \right\}\]