What is the Solution Set Notation of |3x - 5| - 4 = 0 5 stars to best help

thanks, please help!

the set notation { , } solution of |3x - 5| - 4 = 0?

|3x - 5| - 4 =0
|3x - 5| = 4
-(3x - 5) = 4 and (3x - 5) = 4
-3x + 5 = 4 and 3x - 5 = 4
-3x = -1 and 3x = 9
x= 1/3 and x = 3

Set Notation { 1/3 , 3}

Ok I'm going to try and help walk you through this...

I would start by adding 4 to each side, you want to get ride of what's on the outside first

|3x - 5| - 4 = 0
+4 +4

|3x - 5| = 4
+5 +5

|3x| = 9
/3 /3 Then you divide both sides by three so you get the x alone

|x| = {3,-1/3} And that is your final answer, I hope that helped!

1. Add -4 to 0
2. write out 3x-5=-4
3. add -5 to -4
4. you get 3x=9
5. divide 3 to both sides
6. x= 3