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**Single-variable Inequalities**: At a Glance

- Topics At a Glance
- Solutions to Equations
- Checking Solutions to Equations
- Number of Solutions to an Equation
- Equivalent Equations
- Solving Equations with One Variable
- Adding and Subtracting Constants
- Checking Answers
- Adding and Subtracting Variables
- Multiplication and Division
- Complicated Equations
- Simplifying Equations
- Eliminating Fractions
- Keeping Both Solutions
- When You Get Stuck
- Solving Equations with Multiple Variables
- Solving Equations for Expressions
- Keeping Answers Pretty
- Factoring
- Geometry
**Single-Variable Inequalities**- Strict Inequalities
- Equivalent Inequalities
- Inequalities that Allow Equality
- Solving Inequalities
- In the Real World
- Fitting Things in Spaces
- I Like Abstract Stuff; Why Should I Care?
- How to Solve a Math Problem

An **equation** is a statement that two quantities are equal. An **inequality** is a statement comparing two quantities that may or may not be equal. As we can compare one real number to another, we can compare a real number and a variable. This may seem a little like comparing apples and oranges, but is it really hard to compare apples and oranges? Apples are redder, oranges have more stuff to peel off. Thereâ€”done.

We can represent inequalities using words, symbols, or pictures on a number line.