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.