Question 488731
Absolute value is denoted by |...| (Shift+\). Also, "less than or equal" is often denoted <= (or \le in LaTeX).
 

*[tex \LARGE |11+6x| \le 47] implies that


*[tex \LARGE -47 \le 11 + 6x \le 47]


Subtract 11 from everything.


*[tex \LARGE -58 \le 6x \le 36]


*[tex \LARGE \frac{-29}{3} \le x \le 6]