# How do you solve the following question: Show that set of real numbers #x#, which satisfy the inequality #sum_(k=1)^70 k/(x-k) ge 5/4# is a union of disjoint intervals, the sum of whose lengths is 1988?

##### 1 Answer

Sep 13, 2016

#### Answer:

See below.

#### Explanation:

but

or

Finally, the sum of intervals gives