How to Solve Polynomial Inequalities
Polynomial Inequalities include linear inequalities, quadratic inequalities, cubic inequalities, etc. Here we will learn to solve linear and quadratic inequalities.
Solving Linear Inequalities
Linear inequalities can be solved like linear equations but according to the inequalities rule. Linear inequalities can be solved using simple algebraic operations.
One or Two-Step Inequalities
One-step inequality is inequalities that can be solved in one step.
Example: Solve: 5x < 10
Solution:
⇒ 5x < 10 [Dividing both sides by 5]
⇒ x < 2 or (-∞, 2)
Two-step inequality are inequalities that can be solved in two steps.
Example: Solve: 4x + 2 ≥ 10
Solution:
⇒ 4x + 2 ≥ 10
⇒ 4x ≥ 8 [Subtracting 2 from both sides]
⇒ 4x ≥ 8 [Dividing both sides by 4]
⇒ x ≥ 2 or [2, ∞)
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.
Contact Us