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