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Find the sum of all positive integers n such that 1.2n-4.4<5.2+1.1n.

 Jun 23, 2022
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 1.2n-4.4<5.2+1.1n        multiply through by 10 to clear the decimals

 

12n - 44 < 52  +11n

 

12n - 11n  < 52 + 44

 

n < 96

 

The sum of the positive integers from  1  to 96 inclusive is

 

[96] [ 97] /  2  =

 

48 * 97  =  

 

4656

 

 

 

cool cool cool

 Jun 23, 2022

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