Zero Method to solve Inequalities

Abstract

In this paper an alternative method to solve Inequalities that is to consider the real line to locate the roots of the polynomial inequality and proceed as follows exposed: If the polynomial has distinct real roots, factoring proceed, place the roots of the polynomial on the real line and the intervals in which the sign is to analyze the polynomial are formed between each of the roots of it, the first being the one to the right of the main root and the last the one to the left of the lower root. Thus, in the first interval put the + sign as any element belonging to this interval is greater than all the roots of the polynomial, then in the following ranges the sign is placed 􀀀 and so on alternating signs + and 􀀀 restantes.Luego intervals in the solution set will be the union of the intervals according to the sign of the inequality.
In other cases, the inequality took a polynomial inequality with distinct real roots and proceed the same way. The fact of placing the roots of the polynomial in one line, makes it easy to understand and becomes a rapid application method.