Now it is time to look at solving some more hard inequalities.  In this section we will be solving (single) inequalities which involve polynomials of degree at least two.  Or, to put it into other terms, the polynomials won't be linear any more.  Just as we saw while solving equations the procedure that we have for solving linear inequalities won't work here.

As it's easier to see the procedure as we work an example let's do that. As along with the linear inequalities, we are looking for all of the values of the variable which will make the inequality true. It means that our solution will approximately certainly involve inequalities as well. The procedure that we're going to go through will give the answers in that form.