Graphical Method for Solving Inequality with One Variable

To graphically solve inequality `f(x)>g(x)` we need to draw graphs of functions `y=f(x)` and `y=g(x)`, and choose those intervals on x-axis where graph of y=f(x) is higher then y=g(x).

Example. Solve graphically `log_2(x)>2/x`.

Let's draw `y=log_2(x)` and `y=2/x`. From figure we can see that `y=log_2(x)` is higher then `y=2/x` when x>2. Therefore, `(2,+oo)` is solution of inequality.

graphical solution of inequalities