Question

What are the solution intervals for |x + 5| + 3 > 7?

need the answer dont know how to solve :(

Answer 1

ok try to get |x+5| by itself first
so you need to subtract 3 on both sides first
so what do you get right after subtracting 3 on both sides

Answer 2

|x+5|>4

Answer 3

?

Answer 4

thats right!
so you should get
x+5>4 or x+5<-4
so solve both of these inequalities

Answer 5

x>-1 or x<-9?

Answer 6

yep!
~~~~* *~~~~~
----|------|-------
-9 -1

so you can say the solution is (-inf,-9) U (-1,inf)