Question

||x+4|-7|<5 how to solve this?

Answer 1

Answer:
`(-16, -6) \cup (-2, 8)`

Explanation:

`||x+4|-7| < 5\\\\-5 < |x+4|-7 < 5\\\\2 < |x+4| < 12\\\\1. -2 < x+4 < 2 \implies -6 < x < -2\\\\2. -12 < x+4 < 12 \implies -16 < x < 8\\\\\therefore (-16, -6) \cup (-2, 8)`