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解不等式时要注意不等式的同解变形.方程的解集通常是一些离散的数值组成的集合.在解方程的过程中若采取了使方程有增解可能性的措施,那么只要对得到的未知数的取值集合中的数值逐一进行检验,把增解舍去即可.由于不等式的解集通常是一个区间或若干区间的并集,因此在解不等式的过程中采取了使不等式有增解可能性的措施则最后对未知数的取值集合进行检验是难于进行的.当然,有的不等式的解集也可以是离散的数组成的集合,如不等式2(?)>0的解集即如此.因此,我们在解不等式时要注意不等式的同解变形,而同解变形的定理可由课本上的不等式的性质提炼得到.在解决一个数学问题时,要注意这一数学问题中
When solving inequalities, it is necessary to pay attention to the same solution deformation of inequalities. The solution set of equations is usually a set of discrete values. If steps are taken to increase the likelihood of equations in the process of solving an equation, then the unknowns are obtained. The values in the set of values are checked one by one, and the increase can be discarded. Since the solution set of inequalities is usually the union of one interval or several intervals, the solution to the inequality has been taken to increase the likelihood of inequality. Sexual measures are finally difficult to test for the set of unknown values. Of course, the solution set of some inequalities can also be a set of discrete numbers, such as the solution set of inequality 2(?)>0. Therefore, we must pay attention to the inequality of the same solution when we solve the inequality, and the theorem of the solution deformation can be extracted from the nature of the inequality of the textbook. In solving a mathematical problem, we must pay attention to this mathematical problem.