Question

Solve. Write the solution in interval notation.

Answer 1

\[\left| x+6 \right| \le 12\]

Answer 2

\[ -12 \le x+6 \le 12 \]

Answer 3

-12<x +6<12
-18<x<6

Answer 4

Subtract 6 from all sides

Answer 5

though its the same

Answer 6

\[\left| x+6 \right|\le12 \leftrightarrow-12\le x+6\le12\leftrightarrow -18\le x \le 6 \]
So
\[\forall x \in \left[ -18;6 \right], \left| x+6 \right|\le 12\]