First we rewrite the expression: | x-12 | <27-5 | x-12 | <22 Then We write the problem as a compound inequality: -22 <x-12 <22 From here, we obtain 2 equations: -22 <x-12 x-12 <22 Rewriting: -x + 12> 22 x-12 <22 Answer: the two equations created by the inequality | x-12 | + 5 <27 are: -x + 12> 22 x-12 <22