Please answer this question correctly, and include work within your answer.

Answer: 11.9 and 12.5
Step-by-step explanation:
|x - 12.2| = 0.3 is telling us that x must be either 12.2 + 0.3 or 12.2 - 0.3.
Longest is (12.2 + 0.3) = 12.5
Shortest is (12.2 - 0.3) = 11.9