"Solving linear inequalities of one variable" PPT courseware

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"Solving linear inequalities of one variable" PPT courseware

Part One: Review and Review

1. The three elements of the number line are ______, ______ and ______.

2. On the number axis, points toward the left represent more ______ numbers; points toward the right represent more ______ numbers; (fill in the larger and smaller numbers)

3. What is the solution of inequality?

The value of the unknown number that makes the inequality true is called the solution of the inequality. p123

4. Complete "Try it"

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

Solution set of an inequality: All solutions of an inequality containing unknown numbers form the set of solutions to the inequality, which is referred to as the solution set of the inequality.

The solution set of an inequality must satisfy two conditions: 1. Any value in the solution set makes the inequality true;

2 Any value outside the solution set cannot make the inequality true.

X+2>5 x>3. Such as 3.1, 4, 5...etc., also such as 3, 2.9, 2, 1, 0, –1...etc.

An important task in studying inequalities is to find the solution set of inequalities.

The process of finding the solution set of an inequality is called solving the inequality.

Solving linear inequalities of one variable PPT, the third part: learning and application

1. Express the solution set of the inequality on the number line

The solution set of x+2>5 can be expressed as x>3, or it can be expressed intuitively on the number axis.

x>3 does not include 3, draw an open circle at x=3.

The solution set of x+3≤1 can be expressed as __________,

Expressed as a number axis:

X≤-2 includes -2, draw a solid dot at x=-2.

2. Try feedback and consolidate knowledge

(1) What is the difference between the solution sets of the inequality X>-2 and X≥-2? How do they differ when represented on a number line? Express these two solution sets on the number axis respectively.

(2) Use inequalities to express the solution set shown in the figure.

Solving linear inequalities of one variable PPT, part 4: after-class exercises

Expressions expressing inequality relations using the inequality sign

1. Which of the following expressions are inequalities? Z.xxk

(1)-1 <0 (2) 3X-2Y

(3) 3x +4=0 (4) 5+3 x > 240

(5) x +3≠ 0 (6) 5-x≥1

Inequalities can contain unknowns or no unknowns

Think about it: look at the following inequalities, what do they have in common, and try to name them?

(1) x-2≥-1 (2) 4x>7 (3) 1/2y <3

First degree inequality of one variable:

An inequality containing an unknown number whose degree is 1 is called a linear inequality of one variable.

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"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:

"Solving linear inequalities of one variable" PPT Part 1 content: New lesson introduction Think about it We have learned the properties of inequalities before, so how to apply these properties to solve inequalities? We can simplify the inequality into the form of xa or xa, which actually means that the solution cannot...

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Update Time: 2024-11-13

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

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