A. True. |-2| becomes 2 after simplifying. So |-2| > 1 becomes 2 > 1 which is a true statement.
B. False. |12| = 12 and |-15| = 15, so |12| > |-15| becomes 12 > 15, which is false.
C. False. |-7| = 7, not -7. The result of an absolute value is never negative as it represents distance from zero on a number line.
D. False. |-8| = 8 and |8| = 8. The original inequality |-8| < |8| simplifies to 8 < 8 which is false. Any number is never smaller than itself.
Answer: Choice A) |-2| > 1