本文主要讨论用集合运算解一元高次不等式。 一般地,不等式解的全体叫做不等式的解集合。所以解不等式就是求该不等式的解集合。我们规定不等式f(x)>0的解集合叫做正向解集合。记作, B_f~+={x:f(x)>0}不等式 f(x)<0的解集合叫做负向解集合。记作, B_f~-={x:f(x)<0}方程f(x)=0的解集合,记作 B_f~0={x:f(x)=0}显然,不等式f(x)≥0(或f(x)≤0) 的解集合,记作 B_f~0∪B_f~+={x:f(x)≥0} This article focuses on the use of set operations to solve unary higher order inequalities. In general, the inequality of the whole solution is called inequality solution set. So to solve the inequality is to find the inequality solution set. We specify that the solution set of the inequality f (x)> 0 is called the set of positive solutions. Denoted as, B_f ~ + = {x: f (x)> 0} The solution set of the inequality f (x) <0 is called negative solution set. Is denoted as B_f ~ - = {x: f (x) <0} The solution set of the equation f (x) = 0 is written as B_f ~ 0 = {x: f (x) = 0} Obviously, the inequality f ) ≥0 (or f (x) ≤0) is written as B_f ~ 0∪B_f ~ + = {x: f (x) ≥0}