Introduction

When you hear the word compound, you might think of learning about a compound word in elementary school. Compound words are two words that form another word with a different meaning. For example, hand and shake can form the compound word handshake. Other examples of compound words might be airport and baseball.

A compound inequality is very similar. The inequality -5 < x < 12 is an example of a compound inequality because it contains two parts, -5 < x and x < 12. In this lesson, you will study methods to solving compound inequalities as well as graphing compound inequalities.

 

Lesson Objectives

Following successful completion of this lesson, students will be able to...

  • Create inequalities in one variable and use to solve problems.
  • Represent constraints by inequalities and interpret solutions of inequalities as viable or nonviable options in a modeling context.

Enduring Understandings

  • You can solve real-world problems using equations and inequalities.
  • Operations create relationships between numbers.
  • The language of mathematics is communicated through specialized vocabulary and symbols used to represent and describe mathematical ideas, generalizations, and relationships.
  • By describing patterns using mathematics, we can make predictions and generalizations, analyze situations in everyday life, and sort and classify things

The above objectives correspond with the Alabama Course of Study Algebra II and Algebra II with Trig standards: 20 and 22

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