Lesson

Title: Linear inequalities in one or two variables

Grade: 1300-a Lesson: S1-L4

Explanation: Hello students, let us learn a new topic in SAT-2 today with definitions, concepts, examples, and worksheets included.

Lesson:

Definition: Linear inequalities

Linear inequalities are mathematical statements that express a relationship between two algebraic expressions using inequality symbols (<, >, ≤, or ≥).

These inequalities involve linear equations, which consist of variables raised to the first power, multiplied or divided by constants.

The general form of a linear inequality is ax + b < c.

1

.

Explanation: Here the given image shows the ax + b < c, where x represents the variable, a and b are constants, and c is a constant.

Definition: Linear inequalities in one variable

Linear inequalities in one variable involve a variable to the power of 1 and a linear function.

They represent a connection between the variable and a constant, indicating if the variable is greater than, less than, or equal to that constant.

The general form of a linear inequality in one variable is
ax + b < c.

2

.

Explanation: Here the given image shows the ax + b < c, where x represents the variable, a and b are constants, and c is a constant.

Definition: Linear inequalities in two variable

Linear inequalities in two variables involve mathematical expressions with two variables, expressing relationships using inequality symbols like "<", ">", "≤", or "≥".

These symbols signify less than, greater than, less than or equal to, or greater than or equal to, respectively.

The general form of a linear inequality in two variables is
ax + by < c.

3

.

Explanation: Here the given image shows the ax + by < c, where x and y represent the variables, a, b, and c are constants.


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