(2) Mobile projects
(3) Merge similar items, and put the algebraic expression with X on the left and the algebraic expression without X on the right.
(4) The coefficient is 1. If the coefficient of x is positive, then both sides are divided by this number, and the direction of the equal sign remains unchanged;
(4. 1) If the coefficient of x is negative, then the direction of inequality changes when both sides are divided by negative numbers;
(4.2) If the coefficient of x is an algebraic expression with letters, we will discuss the case that the algebraic expression is equal to 0 and not equal to 0, and get the solutions in different cases.
2.
Algebraic expression inequality is a rational inequality. Two algebraic expression inequalities connected by inequality signs. The larger of these two algebraic expressions is defined as the degree of inequality. Such as 2x+3 >；; 0 is a linear inequality, x2+3x >; 2. x2+y2≥2xy is a quadratic inequality.
3.
When solving inequality problems, the most basic algebraic expression inequalities are:
(1) One-dimensional linear inequality. The inequality with only one algebraic expression on both sides is transformed into the standard form +>0, which represents an unknown number. If ≠0, it is > 0, the solution is-0, and the solution is all real. No solution at<0.
(2) One-dimensional quadratic inequality. Transform the inequality with quadratic algebraic expressions on both sides into the standard form++>; 0。 If > 0, take the discriminant δ =-4, then when δ >; 0, the solution is; When δ = 0, all are real numbers except -2, and when δ < 0, the solution is obtained; When△≤ 0, there is no solution. If 0, inequality+> 0 the same solution, according to one-dimensional linear inequality.
(3) Binary linear inequality. The representative form is++>; 0,,, are not all zeros,,, unknown, each solution is an ordered couple (,), corresponding to a point on the coordinate plane, and the solution set corresponds to a straight line ++=0, > the upper half plane at 0: 00,
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What is algebraic expression inequality?
It is an inequality with algebraic expressions on both sides (the unknown is not on the denominator). One-dimensional inequality: an inequality that contains an unknown number (i.e. one) and the number of unknown numbers is 1 (i.e. one). For example, 3-x >; 0 Similar to: Binary linear inequality: an inequality that contains two unknowns (namely binary) and the number of unknowns is 1 (namely once).
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Algebraic expression inequality of inequality
Both sides of the algebraic expression inequality are algebraic expressions (that is, the unknown is not on the denominator). One-dimensional linear inequality: an unknown (that is, one dimension) and the degree of the unknown is 1 (that is, once). For example, 3-X >0 is the same: binary linear inequality: an inequality that contains two unknowns (namely binary) and the number of unknowns is 1 time (namely once).
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Solving Basic Inequalities: A Method to Improve Senior High School Students' Mathematics Achievement
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