What is Absolute Value Inequalities?
Absolute Value Inequalities are a subcategory of inequalities that compare absolute values of mathematical quantities. These usually include symbols like >, < which denote unequal relationships.
What is Absolute Value?
Let us see the formal definition
An absolute value inequality is an expression that uses absolute value expression and variables to denote the relationship between quantities.
We can categorize the inequality into two major types:
- Lesser Than or Equal To
- Greater Than or Equal To
- Compound Inequalities with Absolute Values
Each of the given types is denoted using different symbols which will be discussed later.
Example of Absolute Value Inequalities
Here are some examples to understand the Absolute Value Inequalities
- |x + 5| < 8
- -13 < x < 3
Absolute Value Inequalities
Inequalities that involve algebraic expressions with absolute value symbols and inequality symbols are called Absolute Value Inequality. In this article, we will discuss inequalities and absolute value inequalities and others in detail.
Table of Content
- What is Inequalities?
- What is Absolute Value Inequalities?
- Solving Absolute Value Inequalities
- Types of Absolute Value Inequalities
- Intersection and Union in Absolute Value Inequalities
- Examples on Absolute Value Inequalities