How to Solve Linear Inequality with Two Variables
Let’s take an example to solve linear inequality with two variables.
Example: Solve: 20x + 10y ≤ 60
Solution:
Consider x = 0 and put it in the given inequality
⇒ 20x + 10y ≤ 60
⇒ 20(0) + 10y ≤ 60
⇒ 10y ≤ 60
⇒ y ≤ 6 ——(i)
Now, when x = 0, y can be 0 to 6.
Similarly, putting values in inequality and check it satisfies the inequality.
For x = 1, y can be 0 to 4.
For x = 2, y can be 0 to 2.
For x = 3, y can be 0.
The possible solution for given inequality is (0, 0), (0,1), (0, 2), (0,3), (0,4), (0,5), (0,6), (1,0), (1,1), (1,2), (1,3), (1,4), (2,0), (2,1), (2,2), (3,0).
Inequalities
Inequalities are the expressions which define the relation between two values which are not equal. i.e., one side can be greater or smaller than the other. Inequalities are mathematical expressions in which both sides are not equal. They are used to compare two values or expressions. It is a mathematical expression used to compare the relative size or order of two objects or values.
They are fundamental in solving problems in mathematics, economics, engineering, and various other fields.
In this article, we will learn about Inequalities including their symbols, rules/properties, types, and their graphical representations and others in detail.
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