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x>13 (C)

Step-by-step explanation:

1) simplify -> 2x+7>33

2) subtract 7 from both sides -> 2x+7-7>33-7 = 2x>26

3) divide both sides by 2 -> 2x/2>26/2

x>13

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.