"Properties of Inequalities" Inequality and Inequality Group PPT Courseware 4

Description

"Properties of Inequalities" Inequality and Inequality Group PPT Courseware 4

Basic properties of inequalities 1: If a > b, then a±c > b±c. That is to say, the same number (or formula) is added (or subtracted) to both sides of the inequality, and the direction of the inequality sign remains unchanged.

Basic property 2 of inequalities: If a > b, c > 0, then ac > bc (or a/c=b/c) means that both sides of the inequality are multiplied (or divided) by the same positive number, and the direction of the inequality sign is different. Change.

Basic property of inequality 3: If a>b, c<0, then ac

Classroom testing:

1. If a>b, fill in the blank with “<” or ">”.

(1)a+1 b+1; (2) a-5 b-5; (3) -3a -3b; (4) 6-a 6-b;

2. Convert the following inequalities into the form of “x>a” or “x

(1)x-3>2; (2)4x<3x-1;

(3)x-2>0.9; (4)-3x<6;

(5)3x-5<4x-6

Use the properties of inequalities to solve the following inequalities and express the solution set on the number line.

(1) x- 7>26

Solution: In order to change one side of the inequality sign in the inequality x- 7>26 to x, according to the basic property of inequality 1, add 7 to both sides of the inequality, and the direction of the inequality sign remains unchanged, we get,

x- 7+7>26+7

x>33

The solution set of this inequality is represented on the number line as follows:

Compare who can do it faster and better!

Solve the following inequalities and express their solutions on the number line.

(1)x+4>3

(2) 7x＋6 ≥ 6x＋3

(3)7x-1 ≤ 6x+1

(4) 3-5x < 2 (2-3x)

think

1. Find the inequality

The positive integer solution of 3(x-3)+6 < 2x+1.

2. When X takes what value, the value of the algebraic formula x+1/2.

(1) Greater than 0 (2) Not less than -3/2

summary

1. Inequality property 1: Add ____ to either side of the inequality or __subtract __ a number or expression, and the resulting inequality _______.

2. Inequality transfer rule: After moving the __________ of any term of the inequality from the _______ of _______ to ________, the resulting inequality will still hold.

question

A certain kind of fireworks bomb needs to be set off in a celebration in a certain place. To ensure personal safety, the person setting off the fireworks is required to move to a place 10 meters away after lighting the fuse before setting off. It is known that the burning speed of the fuse is 0.02 meters (per second) ), the speed of people leaving is 4 meters (per second), what relationship should the length of the fuse x meters satisfy?

Can you use what you have learned to solve this inequality?

Keywords: Teaching courseware of inequalities and groups of inequalities, teaching courseware of the properties of inequalities, PPT courseware of the second volume of seventh-grade mathematics published by the New People's Education Press, download of the seventh-grade mathematics slide courseware, download of the PPT courseware of inequalities and groups of inequalities, download of the PPT courseware of the properties of inequalities ,.ppt format

For more information about the PPT courseware "Inequalities and Inequality Groups and Properties of Inequalities", please click on the Inequality and Inequality Groups ppt Properties of Inequalities ppt tag.

"Properties of Inequalities" Inequalities and Inequality Groups PPT Courseware 3:

"Properties of Inequalities" Inequality and Inequality Group PPT Courseware 3 From a+2=b+2, can we get a=b? Can we get a=b from a-2=b-2? From 0.5a=0.5b, can we get a=b? Can we get a=b from -2a= -2b? Basic property of equation 1: Add (or..

"Properties of Inequalities" PPT Courseware 2 on Inequalities and Inequality Groups:

"Properties of Inequality" PPT Courseware of Inequality and Inequality Group 2 Property of Inequality 1: If the same number (or formula) is added (or subtracted) to both sides of the inequality, the direction of the inequality sign remains unchanged; Mathematical language: If ab, then acbc Equality Property 1: Add (..

"Properties of Inequalities" PPT courseware on inequalities and inequality groups:

"Properties of Inequalities" PPT courseware on Inequalities and Inequality Groups represents the solution set of the following inequalities on the number axis: (1)x-1 (2)x-3 (3)x<2 (4)-3x<2 ⒈Can you find Can you find a suitable integer solution to the inequality -1x<4? What is the maximum integer value of x?

File Info

Update Time: 2024-09-11

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

Preview