Help me solve this problem please, I have tried so many time.I can not seem to get the problem right.

x +12 <-8 or x+12>2
x+ 12 < -8 =x +12 > 2
x =4 > -10 is this right

2 answers

x +12 < -8
Subtract 12 from both sides.
x < -20

x + 12 > 2
x > -10

Both inequalities cannot be true at the same time, for obvious reasons.
since the operator was "OR"
the solution is
x < -20 OR x > -10

had the operator been "AND" there would have been no solution.