SOLUTION: 7<3x-8<19

Question 126046: 7<3x-8<19
Answer by marcsam823(57) (Show Source): You can put this solution on YOUR website!
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
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