1. Linear Inequalities and Systems of Linear Inequalities
Objective: Students will be able to graph and identify linear inequalities in real world situations.

2. Linear Inequalities
Very Similar to linear equations Solve inequality for y Graph line like normal If just greater than or less than you use a dashed lines, similar to an open circle If it is also equal to you use a solid line Then you have to shade the graph because there are multiple solutions To do this test a point not on the line If the equation come back true shade on that side of the line If it comes back false shade on the other side of the line

3. Examples
The lines are graphed just shade the correct side

4. Example
Solve for y and graph

5. Systems of Linear Inequalities
Similar to other systems we did You have multiple lines to graph and shade You are looking for the overlapping region of feasible region of all the lines Don’t shade heavy to begin with just draw arrows to indicate direction and when all lines are drawn and arrows indicated shade the main overlapping region

6. Example

7. Writing Linear Inequalities
Again similar to writing equations of lines from a graph
Determine slope
Find y –intercept
Is line solid or dashed indicates inequality
Pic a point in the shaded region, sub into equation to help determine which inequality to use

8. Examples

9. Word Problems
Be able to write the inequality from a word problem and then graph it to get solutions

10. Homework
Pg and graph ,2 and graph,7,8 Wkst on systems