IMO Shortlist 1988 problem 16
Dodao/la:
arhiva2. travnja 2012. Show that the solution set of the inequality
is a union of disjoint intervals, the sum of whose length is 1988.
%V0
Show that the solution set of the inequality
$$\sum^{70}_{k = 1} \frac {k}{x - k} \geq \frac {5}{4}$$
is a union of disjoint intervals, the sum of whose length is 1988.
Izvor: Međunarodna matematička olimpijada, shortlist 1988
Školjka 
