Algebra I / Elem. Algebra
Introduction to Algebra Linear Equations and Inequalities Functions and Graphs I Lines and thier Graphs Linear Systems
Algebra II / E&I Algebra
Exponents & Polynomials Intermediate Algebra starts here!

Factoring Rational Expressions Rational Equations and Applications
Algebra III / Inter. Algebra
Radical Expressions Nonlinear Equations and Applications Functions and Graphs II Exponential and Logarithmic Functions
College Algebra
Equations and Inequalitites Functions and Graphs Polynomial and Rational Functions Exponential and Logarithmic Functions Systems and Matrices Geometry Basics Conic Sections Sequences and Series
Trigonometry
The Six Trigonometric Functions Right Triangle Trigonometry Circular Functions Graphs of Trigonometric Functions Trigonometric Identities Trigonometric Equations Oblique Triangles and the Laws Vectors Complex, Parametric, and Polar Forms
Calculus I
Limits and Continuity Derivatives Analysis of Curves Antiderivatives
Calculus II
Transcendental Functions
Geometry Physics Integration Techniques Calculus of Infinity Parametric, Polar, and Conic Curves
Calculus III
Calculus IV
15.Functions of Several Variables
16.Multiple Integration
17.Vector Analysis

Course: Algebra I / Elementary Algebra
Topic: Linear Equations and Inequalities
Subtopic: Solving Double Inequalities

Overview

Double inequalities means to combine two inequalities together in a single statement like 4<2x-1<10. The key to solving double inequalities is simply to get x isolated in the middle. The final answer will usually be written in interval notation, but could be given in interval notation or graphed on a number line.

Objectives

By the end of this topic you should know and be prepared to be tested on:

• 2.6.1 Solve linear double inequalities correctly
• 2.6.2 When solving a double inequality, know when the direction of the inequality sign must reverse and be able to perform this step correctly

Terminology

Define: double inequality

Text Notes

Many textbooks cover business applications of inequalities at this time. If yours does you can SKIP the business applications, revenue function, cost function, profit function, and all of the graphing stuff! You will NOT be tested on these topics in this level course.

If your textbook covers equations/inequalities that contain absolute values you may SKIP these problems! You will NOT be tested on these topics in this level course.