## Tutoring on Solving and Graphing Compound Inequalities

Learning Objectives:

#### Understand to Solve and Graph Compound Inequalities.

Math Tutoring on Solving and Graphing Compound Inequalities

The Intersections of two sets A and B is the set of all elements that are contained in both A and B. When two or more inequalities are joined by ‘AND’ it is called a conjunction.

The Union of two sets A and B is set of all elements that are contained in both A and B. When two inequalities are joined by ‘OR’ it is called a disjunction.

A compound inequality contains at least two inequalities that are separated by either "and" or "or".

The graph of a compound inequality with an "and" represents the intersection of the graph of the inequalities. A number is a solution to the compound inequality if the number is a solution to both inequalities. It can either be written as x ˃, x <, < x <   etc.

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Hook Questions:

1.    What is meant by a compound inequality?

2.    What is the difference between conjunction and disjunction?

3.    How do you solve and graph compound inequalities?

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