SOLUTION: Hello professor I'm confused with an inequality. 5x/ -5x+17 ≥ 17 In my book the answer is [289/90,17/5] I understand how to get the 289/90 but I have no idea how to get th

Algebra ->  Test -> SOLUTION: Hello professor I'm confused with an inequality. 5x/ -5x+17 ≥ 17 In my book the answer is [289/90,17/5] I understand how to get the 289/90 but I have no idea how to get th      Log On


   



Question 657498: Hello professor I'm confused with an inequality.
5x/ -5x+17 ≥ 17
In my book the answer is [289/90,17/5] I understand how to get the 289/90 but I have no idea how to get the 17/5 thank you!!!!

Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
5x/ -5x+17 ≥ 17
In my book the answer is [289/90,17/5]
**
[5x/ (-5x+17)] ≥ 17
add -17 to both sides
[5x/ (-5x+17)]-17 ≥0
LCD: (-5x+17)
[5x-17(-5x+17)]/ (-5x+17)≥0
[5x+85x-289)]/ (-5x+17)≥0
[90x-289)]/ (-5x+17)≥0
[90(x-289/90)]/[-5(x-17/5)]≥0
number line:
<..-....[289/90....+....17/5]....-......>
solution:[289/90,17/5]