Post on 14-Feb-2016
description
Inequalities
www.themegallery.com
3
2
1Denoting Inequalities
Properties
Solving Inequalities
2
www.themegallery.com
Definition An inequality is a statement that two
quantities or expressions are not equal
3
www.themegallery.com
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 <
4
Examples of Notation
5
Properties of Inequalities
6
www.themegallery.com
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)
7
www.themegallery.com
An Example of Solving an Inequality
8
Another Example of Solving an Inequality
9
Yet Another Example of Solving an Inequality
10
Practice Problems Page 119
Problems 3-46 Do not sketch graphs