SOLUTION: 1/7 + 1/8 - 1/9 + 1/10 < 1/8 - 1/9 + 1/10 + 1/n For the above inequality, what is the greatest possible positive integer value of n?

Algebra ->  Equations -> SOLUTION: 1/7 + 1/8 - 1/9 + 1/10 < 1/8 - 1/9 + 1/10 + 1/n For the above inequality, what is the greatest possible positive integer value of n?      Log On


   

Question 1202375: 1/7 + 1/8 - 1/9 + 1/10 < 1/8 - 1/9 + 1/10 + 1/n
For the above inequality, what is the greatest possible positive integer value of n?
Found 2 solutions by mananth, Edwin McCravy:
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
1/7 + 1/8 - 1/9 + 1/10 < 1/8 - 1/9 + 1/10 + 1/n
1/7 <1/n
n=6


Answer by Edwin McCravy(20055) About Me  (Show Source):
You can put this solution on YOUR website!

1%2F7+%2B+1%2F8+-+1%2F9+%2B+1%2F10++%3C++1%2F8+-+1%2F9+%2B+1%2F10+%2B+1%2Fn

Add -1/8 + 1/9 - 1/10 to both sides

1%2F7%3C1%2Fn

Multiply both sides by n, which is positive and so the direction of the
inequality is retained:

n%2F7%3C1

Multiply both sides by 7

n%3C7

The largest integer possible is n=6

Edwin