Algebra Tutorials! Home Solving Quadratic Equations by Completing the Square Graphing Logarithmic Functions Division Property of Exponents Adding and Subtracting Rational Expressions With Like Denominators Rationalizing the Denominator Multiplying Special Polynomials Functions Solving Linear Systems of Equations by Elimination Solving Systems of Equation by Substitution and Elimination Polynomial Equations Solving Linear Systems of Equations by Graphing Quadratic Functions Solving Proportions Parallel and Perpendicular Lines Simplifying Square Roots Simplifying Fractions Adding and Subtracting Fractions Adding and Subtracting Fractions Solving Linear Equations Inequalities in one Variable Recognizing Polynomial Equations from their Graphs Scientific Notation Factoring a Sum or Difference of Two Cubes Solving Nonlinear Equations by Substitution Solving Systems of Linear Inequalities Arithmetics with Decimals Finding the Equation of an Inverse Function Plotting Points in the Coordinate Plane The Product of the Roots of a Quadratic Powers Solving Quadratic Equations by Completing the Square
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 Number of inequalities to solve: 23456789
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# Inequalities in one Variable

In this section we will learn how to use the relation symbols in word sentences and how to translate them into mathematical sentences.

## Comparison Symbols

 English terms; Relation Symbols and their Logical (negative) equivalents: English Relation Negation (opposite) equals = is, equals ≠ not equal (not an equivalent) less than < is less than is not greater than or equal at most ≤ is less than or equal is not greater than beyond > is greater than is not less than or equal at least ≥ is greater than or equal is not less than

## Rules of Order of Operations

Please Pardon My Dear Aunt Sally

Parentheses (Grouping): Work from inside out.

Powers (Exponents): Simplify all powers first.

Multiply and/or

Divide: Work left to right (watch signs).

Add and/or Subtract: Combine like terms only.

## Properties of Inequalities

For any real numbers a, b, and c:

1. EQUIVALENT PROPERTY:

a < b b > a