Types of Absolute Value Inequalities
Depending on the type of sign in the inequality, there are different types of inequalities which are mentioned below:
- Inequalities with Greater Than Condition
- Inequalities with Less Than Condition
- Compound Inequalities Involving Absolute Values
Inequalities with Greater Than Condition
These inequalities generally use a greater than sign i.e. the number is greater than the value of some other mathematical value. Here are some examples of such inequalities
- x > 5
- x+ y > 7 + 3y
- 65y > x + 22
Inequalities with Less Than Condition
These inequalities generally use a less-than sign i.e. the number is less than the value of some other mathematical value. Here are some examples of such inequalities
- x < 57
- x + y < 89
- 5y + 6x < 0
Compound Inequalities Involving Absolute Values
As the name suggests, Compound Inequalities involve both greater than and less than cases i.e. the number is less than and greater than the value of some other mathematical value. These inequalities use the absolute value. Here are some examples of such inequalities
- |x – 5| < 7
- |x + 6y| > 89
- |4x + 2| <= 24
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
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