Answer:
[tex]\large\boxed{u<14\ and\ u>-24\to-24<u<14\to u\in(-24,\ 14)}[/tex]
Step-by-step explanation:
[tex]|x|<a\Rightarrow x < a\ and\ x>-a\\\\|x|>a\Rightarrow x>a\ or\ x<-a\\==============================\\\\|u+5|<19\Rightarrow u+5<19\ and\ u+5>-19\qquad\text{subtract 5 from both sides}\\\\u<14\ and\ u>-24\to-24<u<14\to u\in(-24,\ 14)[/tex]
