Inequalities
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1Denoting Inequalities
Properties
Solving Inequalities
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Definition
An inequality is a statement that two quantities or expressions are not equal
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Denoting Inequalities
Notation Endpoints are the extreme limits of the
inequality Closed Interval
Denoted by [ ] Includes the endpoint(s) Associated with ≥ and ≤
Open Interval Denoted by ( ) Includes all values up to , but not including the
endpoint(s) Associated with > and <
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Examples of Notation
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Properties of Inequalities
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Solving Inequalities
Solve as you would an equation…With three new rules Reverse the signs (i.e. < to >, etc.) when:
Dividing by a negative number Multiplying by a negative number Swapping positions of the variable and final
answer Variable needs to be on the left in the event
of a single inequality symbol Variable needs to be in the middle in the
event of two inequality symbols (continued inequality)
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An Example of Solving an Inequality
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Another Example of Solving an Inequality
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Yet Another Example of Solving an Inequality
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Practice Problems
Page 119Problems 3-46
Do not sketch graphs