"Groups of linear inequalities of one variable" PPT courseware on inequalities and inequality groups

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People's Education Press Seventh Grade Mathematics Volume 2	pptx	6 MB

"Groups of linear inequalities of one variable" PPT courseware on inequalities and inequality groups

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"Groups of linear inequalities of one variable" PPT courseware on inequalities and inequality groups

Review the past and learn the new

1. The solution to the inequality -X>-2 is ( )

A. X>2 B. X>-2 C. X<2 D. X<-2

2. The solution of inequality ( ) is expressed on the number axis, as shown in the figure:

A. X＞-1 B. X＜-1 C. X≤-1 D. X≥-1

Discuss: (Use a number line to explain)

In ① X＞-1 ②X＞-2 ③X＜-2 ④X＜-1

X≤2 X>-1 X <2 X>1

In each group of linear inequalities of one variable, the values of X in the two inequalities are,

Those with public parts are: ______________ ;

What has no public part is:_______________ .

definition:

Generally speaking, the common part of the solution set of several linear inequalities is called the solution set of the group of linear inequalities composed of them (the solution of the inequality group)

"Have common parts"----Solution set of inequality group

"No common part"----The inequality group has no solution

test you

(1) The solution set of the inequality group x ≥ -5 x > -2 is ( )

A. x≥-5 B. x>-2 C. No solution D.-5＜x＜-2

(2) The solution set of the inequality group x ≥ 2 x ≤ 1 is ( )

A.x≥2 B.x≤2 C. No solution D. x=2.

practise,

(1) If a>b, then the set of inequality set X

(A) x

(2) If the inequality group X<3 X>m has a solution, then the value range of m is ( )

(A) m>3 (B) m ≥ 3 (C) m < 3 (D) m ≤ 3

Steps to solve a system of linear inequalities of one variable:

1. Find the solution set of each inequality in the inequality group;

2. Use the number line to find the common parts of several solution sets:

3. Write the solution set of this inequality group;

Summary

1. Key concepts:

A system of linear inequalities of one variable; a set of solutions to a system of inequalities.

2.Law study guidance:

The number-shape combination method relies on the number axis to find the solution set of the inequality group.

1. Be familiar with the rules of solution sets of linear inequalities of one variable.

2. Several linear inequalities of one variable contain other letters (such as a, m, n, etc.). Generally, they are regarded as known numbers first, and then the solution set of the inequality group is solved.

(1) Find the solution set of each inequality in the inequality group

(2) Use the number axis to find the common parts of the solution sets of these inequalities, that is, the solution set of the inequality group is obtained.

(If the common part cannot be found, the inequality group has no solution)

(３) Examine the range of letters involved on the number axis or use the rules of inequality set solutions (note: the selection of adjacent points and the presence or absence of an equal sign)

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For more information about the PPT courseware "Group of linear inequalities of one variable, group of inequalities and groups of inequalities", please click on the tag of "Group of linear inequalities of one variable ppt, Inequalities and Groups of Inequalities ppt".

"Group of linear inequalities of one variable" PPT courseware 3:

"Group of linear inequalities in one variable" PPT courseware 3 Knowledge review 1. Definition of a group of linear inequalities in one variable 2. Solution set of a group of linear inequalities in one variable 3. Methods of solving simple groups of linear inequalities in one variable (1) Find the solution to each inequality in the inequality group Set (2) to find the inequality..

"Group of linear inequalities of one variable" PPT courseware 2:

"Groups of linear inequalities of one variable" PPT courseware 2 Learning objectives Knowledge and skills: 1. Understand the concepts and significance of groups of linear inequalities of one variable and their solution sets. 2. Be able to solve linear inequalities of one variable; be able to use the number line to find the solution set of inequalities. Process and Methods: Understand one...

"Groups of linear inequalities of one variable" PPT courseware:

"Set of linear inequalities in one variable" PPT courseware Recall: 1. What is the solution set of inequalities? All the solutions of an inequality form the set of solutions to the inequality, which is referred to as the solution set of the inequality. 2. What are the steps for solving linear inequalities of one variable? Remove the denominator,...

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