## anonymous 4 years ago help me!!

1. anonymous

with?

2. anonymous

solve the inequality (9/x+1)>9

3. anonymous

0<x<9/8

4. anonymous

thats not one of answer choices

5. Hero

ale5, you have not posted the equation correctly. There are two ways to interpret what you have posted.

6. Hero

I'll show you what i mean.

7. Hero

With the way you have posted it one person could interpret it as: |dw:1327171939658:dw| Another person could interpret it as: |dw:1327171974536:dw| Do you see the potential confusion here?

8. anonymous

oh okay good. I was like it should be that I did it twice

9. Hero

cinar, you approach produces no solution

10. anonymous

sorry if question is 9/(x+1)=9 then solution is -1<x<0

11. Hero

That isn't the question.

12. Hero

x = 1/63 is a solution so the actual solution appears to include fractions close to 0

13. anonymous

$\frac9{x+1}>9$ $\frac9{x+1}-9>0$ $\frac{9-9x-9}{x+1}>0$ $\frac{-9x}{x+1}>0$ $\frac x{x+1}<0$

14. anonymous

|dw:1327184116416:dw|

15. Hero

I don't believe that is the solution. 1/63 > 0

16. anonymous

$\frac9x+1>9$ $\frac9x>8$ $\frac{9-8x}{x}>0$

17. anonymous

|dw:1327184323364:dw|

18. Mertsj

have you guys noticed that you are a lot more interested in this problem than the asker is? He/she has disappeared.

19. Hero

I don't really pay attention to whether or not the original poster is here. I just care if the correct solution is presented.

20. anonymous

cinar I already answered it with that but its not it according to the asker. and they probably just guessed.

21. anonymous

I solved question either way..

22. anonymous

0<x<9/8

23. Mertsj

Divide both sides by 9 and get that the reciprocal of x+1 >1. The only way that the reciprocal of a number is greater than 1 is if the number is <1 and >0 So 0<x+1<1 -1<x<0

24. Mertsj

Another approach is to take the 2 cases Case 1 x+1>0 implies x>-1 and 9>9x+9 so 0>x Therefore -1<x<0 Case 2 x+1<0 implies x<-1 and 9<9x+9 so 0<x However x cannot be <-1 and >0 so this yields no solutions and Case 1 yields the only solutions.

25. anonymous

x<9/8