"Inequality" PPT

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"Inequality" PPT

Part One: Introduction of New Course

In daily life, there are often unequal relationships between similar quantities.

Such as length and length, mass and mass, volume and volume

The driving speed of a car on the highway is akm/h. It is known that the speed limit for cars on the highway is 100km/h, then it can be expressed as a≤100

2. Use mathematical formulas to express the relationship between the following quantities:

(1) A certain kind of bagged milk contains xg protein and yg fat per 100 grams of milk. The nutritional content of this milk is as follows:

(2) A 48-seater bus carries x number of tourists. After 2 people got on the bus, there were still empty seats in the bus;

(3) The speed limit in a certain tunnel is 60km/h. A car traveling at vkm/h in the tunnel was punished by the traffic police for speeding.

(4) The side length of a square table is am, and its area is less than 2m2

Inequality PPT, part 2: analysis of examples

Example 1 Expressed by inequality:

(1)a is a positive number;

(2)b is a non-negative number;

(3) Half of x is less than -1.

(4) The sum of y and 4 is greater than 0.5.

Example 2 Column inequality:

(1) The absolute value of a number m is not less than 0.

(2) Twice the product of two numbers m and n is not greater than the sum of the squares of the two numbers.

Inequality PPT, part 3: simple exercises

1. Express it as an inequality:

①a is a negative number

②The sum of x and 5 is greater than 2

③ The difference between x and a is less than 2

④The difference between x and y is a non-negative number

2. Understand the following examples with the word "most" and write the inequality:

①After the train speeds up, the speed v can reach up to 140km/h;

②The tallest student in a certain class h is 1.74m;

③The longest distance s from a certain class’s home to school is 4km.

3. List the inequalities based on the following quantitative relationships:

(1)a is a positive number

(2) The sum of 2 times y and 6 is smaller than 1

(3)x2 minus 10 is not greater than 10

(4) Let a, b, c be the three side lengths of a triangle, and the sum of the two sides is greater than the third side.

Inequality PPT, Part 4: Continue learning

Can the quantitative relationships in the following questions be expressed by equations? If not, what formula should be used to express it?

(1) According to scientists’ measurements, the temperature of the sun’s surface is no less than 6000°C. Suppose the temperature of the sun’s surface is t (°C), how to express the relationship between t and 6000?

(2) Three ping pong balls are placed on the left pan of the balance, and a 5-gram weight is placed on the right pan. The scale is tilted. Assume the mass of each ping pong ball is x (g). How to express the relationship between x and 5?

(3) Xiao Cong and Xiao Ming play on the seesaw. When no one exerts any force, the seesaw is lower on the left and higher on the right. Xiao Cong's body mass is p (Kg), the mass of the schoolbag is 2Kg, and Xiao Ming's body mass is q (kg). What? Indicates the relationship between p and q?

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Update Time: 2024-11-22

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