You can put this solution on YOUR website! All values of x work for this problem, since the absolute value sign makes the left-hand side of the inequality always positive or equal to 0, and this will always be greater than -2.
You can put this solution on YOUR website! |-8+x|/7>-2
|x-8|>-14
Case 1:
x-8>-14
x>-6
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Case 2:
8-x>-14
-x>-22
x<22 note change to < when multiplying by minus