"Solving linear inequalities of one variable" PPT

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"Solving linear inequalities of one variable" PPT

Part One: Introduction of New Course

think for a while

We have learned the properties of inequalities before, so how to apply these properties to solve inequalities?

We can simplify the inequality to the form x>a or x

try to do it

1 Complete for a given value of x

2 Please randomly select two values ​​greater than 3 to check whether they are solutions to the inequality.

3 How many solutions do you think there are to the inequality 80x>60(x+1)?

Solving linear inequalities of one variable PPT, part 2 content: distinction of concepts

Solution to an inequality: For an inequality containing an unknown number, the value of the unknown number that makes the inequality true.

Solution set of an inequality: The set of all solutions of an inequality with unknown numbers.

Solving Inequalities: The Process of Finding Solutions to Inequalities

for example

Take the inequality x-6>0 as an example

Let's solve the inequality and get X>6

X>6 is the solution set of the inequality (all solutions)

And x=7,x=8.3,x=9.5,x=11 x=15 ------These are all solutions to inequalities

To put it simply: the solution of the inequality is a specific numerical value, while the solution set is a large range, and the solution set contains all solutions.

Solving linear inequalities of one variable PPT, part 3: related exercises

1. The solution set of the inequality x-2>3 is ( )

A.x>2

B. x>3

C.x>5

D.x<5

2. In the inequality -2

3. Among the following numbers 0, -3, 3, -0.5, -0.4, 4, -20, ______ is the solution of the equation x+3=0; _______ is the solution of the inequality x+3>0.

4. The solution set of the inequality 2x-1>5 is ______________.

5. There are ________ solutions to the inequality 2x<5.

Solving linear inequalities of one variable PPT, part 4 content:

Exercise: Solve the following inequalities and represent the solution set on a number line.

(1) x-7>26

Solution: According to inequality property 1, we get

X-7+7>26+7

X>33

(2) -4x�3

Solution: According to inequality property 3, we get

-4x/-4<3/-4

X<-3/4

Keywords: Free download of Hebei Education Edition mathematics PPT courseware for seventh grade volume 2, PPT download of solving linear inequalities in one variable, .PPT format;

For more information about the PPT courseware "Solving linear inequalities of one variable", please click the "Solving linear inequalities of one variable" ppt tag.

"Solving linear inequalities of one variable" PPT download:

"Solving linear inequalities in one variable" PPT download Part 1 content: Learning objectives: 1. Know what is the solution of inequality, what is the solution of inequality, and be able to judge whether a number is the solution of an inequality. 2. Know the solution set of inequalities and be able to use the number line to correctly express the inequalities..

"Solving linear inequalities of one variable" PPT courseware:

"Solving linear inequalities in one variable" PPT courseware Part 1: Review review 1. The three elements of the number axis are ______, ______ and ______. 2. On the number axis, the points farther to the left represent more ______ numbers; the points toward the right represent more ______ numbers; (fill in the larger and smaller numbers) 3..

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Update Time: 2024-06-25

This template belongs to Mathematics courseware Hebei Education Edition Seventh Grade Mathematics Volume 2 industry PPT template

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