Thank you for the opportunity to help you with your question!
The absolute value of any number MUST be a POSITIVE or ZERO. This is what the absolute value function does. It turns any negative number into its positive counterpart. The absolute value of x+3 can not be less than -11 because any number less than -11 is also negative. There is no solution to this problem.
However the problem in your algebra happens on the right side. -11+3=-8 not positive 8. So you should have got x>8. The algebra does not matter though since the absolute value of x + 3 can never satisfy the inequality.
Please let me know if you need any clarification. I'm always happy to answer your questions.
Oct 31st, 2015
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