Question

Can someone solve this 9|x+8|+10 <55?

Answer 1

`9|x+8|+10 <55\\ 9|x+8|<45\\ |x+8|<5\\ x+8<5 \wedge x+8>-5\\ x<-3 \wedge x>-13\\ x\in(-13,-3)`

Answer 2

`9|x+8|+10 <55\ \ |\ subtract\ 10\ to\ both\ sides\\\\ 9|x+8|<45\ \ | \ divide \ each \ term \ by \ 9\\\\|x+8|<5\\\\ x+8<5\ \ \ \wedge \ \ \ x+8>-5\ \ |\ subtract\ 8 \ to\ both\ sides \\\\x<-3 \ \ \ \wedge \ \ \ x>-13 \\\\ x\in(-13,-3)`