"Groups of linear inequalities of one variable" PPT courseware 4 on inequalities and inequality groups

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"Groups of linear inequalities of one variable" PPT courseware 4 on inequalities and inequality groups

Review exchange

1.What is a linear inequality system of one variable?

(1) An inequality group consisting of several linear inequalities of the same unknown number is called a group of linear inequalities of one variable.

(2) The common part of the solution sets of several linear inequalities of one variable is called the solution set of the group of linear inequalities of one variable composed of them.

2. How to solve a system of linear inequalities of one variable?

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

(2), ①Use the number axis to find the common part of the solution sets of these inequalities

② Utilization rules: If the big ones are the same, choose the big ones; if the small ones are the same, choose the smaller ones; if you look for big, small, big, big or small, you can’t solve the big or small problem.

Multiple choice questions:

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

A. x≥2, B. x≤2, C. No solution, D. x=2

(2) The integer solution of the inequality group x>0.5 x≤1 is ( )

A. 0,1 , B. 0 , C. 1, D. x≤1.

(3) The negative integer solution of the inequality group x≥-2, x>-3 is ( )

A. -2, 0, -1 , B. -2 , C. -2, -1, D. Unsure

practise

1. A triangle is formed with line segments 3, 4, and x-5 as sides, then the value range of x is _______

Solution: According to the meaning of the question, we get X-5>1 X-5<7. The solution is 6

2. Satisfy the inequality group 3x - 6 ≤2x-4 2x + 4 >0

Then there are ___ positive integer values ​​of x

Solution: The solution set of the inequality group is -2

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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".

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Update Time: 2024-10-01

This template belongs to Mathematics courseware People's Education Press Seventh Grade Mathematics Volume 2 industry PPT template

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