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?

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) (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) (Show Source): You can put this solution on YOUR website!

Add -1/8 + 1/9 - 1/10 to both sides Multiply both sides by n, which is positive and so the direction of the inequality is retained: Multiply both sides by 7 The largest integer possible is n=6 Edwin

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