Hey peeps - i just started my first year at university in Industrial Applied Mathematics. Another problem is i'm not studying in a language i fully understand so it's even more hard to understand. From what i understand from the assignment we were given:
Prove that the sum of the intervals comtaining all rational numbers is less than or equal to one.
Another variation: m/n is a rational number. There is an interval I(m,n).
Prove that (SIGMA) Σ I(m,n) < or = to 1.
The Professor also explained it as: If i give a different quantity of money to every rational number of people could the amount i gave out be less than or equal to $1.
Now i have NO idea where to start. I know however that the answer is not 1 = 1/2 + 1/3 + 1/4 + 1/5 +...+1/n