The main difference between a linear equation and a linear inequality is the symbol that is used to indicate a relationship between two mathematical expressions. A linear equation is any equation that can be put in the following form:
Ax + By = C, where A, B, and C are real numbers
A linear inequality is defined in the same way, but instead of an equal sign, we use comparison symbols of less than (<), greater than (>), less than or equal to (≤), and greater than or equal to (≥). To illustrate this, consider the following two mathematical statements:
2x + 3y = 8
2x + 3y ≤ 8
We see that both of these statements are in linear form. In 2x + 3y = 8, an equal sign is used, so this is a linear equation, and in 2x + 3y ≤ 8, a less than or equal symbol is used, so it is a linear inequality. Basically, a linear equation is an equality statement, and a linear inequality is a comparison statement, and this is their main difference.
Answers & Comments
Answer:
Variables
Height, age, income, province or country of birth, grades obtained at school and type of housing are all examples of variables.
Linear Equations
Some of the examples of linear equations are 2x – 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, 3x – y + z = 3.
Step-by-step explanation:
The main difference between a linear equation and a linear inequality is the symbol that is used to indicate a relationship between two mathematical expressions. A linear equation is any equation that can be put in the following form:
Ax + By = C, where A, B, and C are real numbers
A linear inequality is defined in the same way, but instead of an equal sign, we use comparison symbols of less than (<), greater than (>), less than or equal to (≤), and greater than or equal to (≥). To illustrate this, consider the following two mathematical statements:
2x + 3y = 8
2x + 3y ≤ 8
We see that both of these statements are in linear form. In 2x + 3y = 8, an equal sign is used, so this is a linear equation, and in 2x + 3y ≤ 8, a less than or equal symbol is used, so it is a linear inequality. Basically, a linear equation is an equality statement, and a linear inequality is a comparison statement, and this is their main difference.