Friday

April 25, 2014

April 25, 2014

Posted by **Elle** on Tuesday, January 20, 2009 at 3:33pm.

1/2 < n/n+1 < 99/101

I don't know how to solve this besides plugging in random numbers, which would take all day. Any other suggestions for a faster way to solve it?

Thank you!

- Another algebra -
**drwls**, Tuesday, January 20, 2009 at 4:44pmThe smallest number that satisfies

1/2 < (n/n+1) is 2/3

The largest number that satisfies

n/(n+1) < 99/101 is 49/50.

Here's proof of that:

49/50 = 0.980000

99/101 = 0.980198

50/51 = 0.98039

So all n/(n+1) numbers in the series

2/3, 3/4, 4/5 ... 49/50 satisfy the inequality.

There are therefore 48 numbers n that satisfy the condition.

**Related Questions**

Algebra--please help! - This one, I am very confused on and I have no idea how ...

maths - Integers a, b, c, d and e satisfy 50<a<b<c<d<e<500, ...

Stats - Let Y be a random number between 0 and 1 produced by the idealized ...

Geometric Progression - Integers a, b, c, d and e satisfy 50<a<b<c<d...

Algebra - The numbers a and b are consecutive positive integers, and a < ...

math - Integers a,b,c,d and e satisfy 50<a<b<c<e and a,b,c,d,e from ...

Algebra/Pre-Calc - Find the values for a and b such that f(x) is continuous on ...

Algebra help - Solve Rational Inequalities x^2-x-2/x^2+5x+6<0 I cant figure ...

Algebra II - 1)What method(s) would you choose to solve the equation: x2 + 2x - ...

Math - help with these questions~ Thank you 1. Determine the interval(s) on ...