Compound Inequalities - muncysd.org

Compound Inequalities

Section 3-6

Goals

Goal ? To solve and graph

inequalities containing the word and. ? To solve and graph inequalities containing the word or.

Vocabulary

? Compound Inequality ? Interval Notation

Definition

? The inequalities you have seen so far are simple inequalities. When two simple inequalities are combined into one statement by the words AND or OR, the result is called a compound inequality.

? Compound Inequality ? the result of combining two inequalities. The words and and or are used to describe how the two parts are related.

Venn Diagram and Compound Inequalities

In this diagram, set A represents some integer solutions of x < 10, and set B represents some integer solutions of x > 0. The overlapping region represents numbers that belong in set A and set B. Those numbers are solutions of both x < 10 and x > 0 (can be written 0 < x < 10).

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