[math]x^2 < \frac{1}{100}[/math], and [math]x< 0[/math]. What is the tightest range in which [math]x[/math] can lie?
If a function [math]f(x)[/math] is defined as f[math](x) =x(1-x)[/math] for [math]x[/math] rational and [math]f(x) =\frac{1}{4}-x(1-x)[/math] for irrational [math]x,[/math] what can be said of the continuity of [math]f(x)[/math] in [math][0,1]?[/math]