Find the smallest value of \(n\) for which the following statement is true:

"Given a set of \(n\) distinct real numbers \(\{x_1,\ldots,x_n\}\), there will always exist at least one pair of those numbers \(x_a\) and \(x_b\) that satisfy the inequality \(\left|\dfrac{x_a-x_b}{1+x_ax_b}\right|\leq\dfrac{1}{\sqrt{3}}.\)"

×

Problem Loading...

Note Loading...

Set Loading...