SOLUTION: Hi I don't understand nor know the steps to solving : 3b+2<5b-6<(greater than or equal to) 2b+9 please help. Thank you

Algebra ->  Inequalities -> SOLUTION: Hi I don't understand nor know the steps to solving : 3b+2<5b-6<(greater than or equal to) 2b+9 please help. Thank you       Log On


   



Question 831283: Hi I don't understand nor know the steps to solving : 3b+2<5b-6<(greater than or equal to) 2b+9 please help. Thank you
Answer by Elomeht(22) About Me  (Show Source):
You can put this solution on YOUR website!
I am assuming you meant to say "less than or equal to"
Let us separate the above into two inequalities:
1. 3b + 2 < 5b - 6: This amounts to 8 < 2b, or better, 4 < b
2. 5b - 6 <= 2b + 9: This amounts to 3b <= 15, or better, b <= 5
So our solution is 4 < b <= 5
If I misinterpreted the problem, please let me know.