Question 126046
7<3x-8<19
The goal in algebra is to get the x all by itself on one side of the equation (or in this case the inequality)
1. Add 8 to all sides:
   15 < 3x < 27

2. Divide everything by 3:
   5 < x < 9
   Answer: the set of numbers [6,7,8]
3. Check (pick a number between 5 and 9 and substitute into the original
   inequality - Let's use 6):
   7 < 3(6)- 8 < 19
   7 < 18 - 8 < 19
   7 < 10 < 19 = true
*Check for yourself using 7 or 8