1. Welcome Back
Algebra 1-2
This presentation starts the 2nd Semester.

2. Today’s Objective
To be able to graph linear inequalities with one variable.

3. Notice the circle is closed.
Recall
Notice the circle is closed.
Graphing a linear Equality with one variable…..
x = 4 -2 2 4 6

4. Graphing a linear Inequality with one variable…..
Notice the circle is open
x < 4 -2 2 4 6

5. Graphing a linear Inequality with one variable…..
Notice the circle is open
x > -2 -2 2 4 6

6. Graphing a linear Inequality with one variable…..
Notice the circle is closed
x < 4 -2 2 4 6

7. Graphing a linear Inequality with one variable…..
Notice the circle is closed
x > -2 -2 2 4 6

8. Will the circle be Closed or Open???
1.) x = 6
2.) x > 0
3.) x < -3
4.) x > -1
5.) x < 7
1.) closed
2.) open
3.) open
4.) closed
5.) closed

9. Solving a linear Inequality
p + 5 > 3
p > 3 - 5
p > -2 -2 2 4 6

10. Solving a linear Inequality
3x < 9
3x/3 < 9/3
x < 3 -2 2 4 6

11. Solving a linear Inequality
The sign flips when you multiply or divide by a negative
-x < 4
-x/-1 < 4/-1 x
> -2 2 4 6

12. Solving a 3-step inequality
2x - 4 < 4x - 1
2x -4x - 4 < 4x -4x - 1
-2x - 4 < - 1
-2x < - 1+4
-2x < 3
-2x/-2 < 3/-2
x > -3/2

13. 2x - 4 < 4x - 1
x > -3/2 -2 2 4 6

14. Classwork
Do worksheet 6.1
Homework page 296 (10-40 even)