Mathematical inequality formula: the formula that uses the symbol ">" < to represent the relationship between size is called inequality. An inequality represented by "≦" is also an inequality.

Usually the number in inequality is a real number, and letters also represent real numbers. The general form of inequality is F(x, y, ..., z)≤G(x, y, ..., z) (where inequality can also be one of them), and the common domain of analytic expressions on both sides is called the domain of inequality. Inequality can express both a proposition and a problem.

Generally, pure greater than sign ">" and less than sign "are used.

Algebraic expression inequality: both sides of algebraic expression inequality are algebraic expressions (that is, the unknown is not in the denominator). One-dimensional linear inequality: an inequality with an unknown number (i.e. one) and the degree of the unknown number is 1 (i.e. one). Such as 3-x >0. Similarly, binary linear inequality: an inequality that contains two unknowns (namely binary) and the number of unknowns is 1 (namely once).

Basic attribute

(1) if x>y, then y < x；; If y

2 If x>y, y & gtz；; Then x & gtz；; (transitivity).

③ if x>y and z is any real number or algebraic expression, then x+z >; y+z； (addition principle, or additivity of inequality in the same direction).

4 If x>y, z>0, then xz & gtyz；; If x>y, z<0, and then xz.

⑤ If x>y, m>n, then X+M > y+n； (Sufficiently unnecessary condition).

6. If x>y>0, m>n>0, then xm & gtyn.

⑦ If x>y>0, xn & gtYn(n is a positive number), xn