1. Graphing Linear Inequalities

2. Summary: On Solving Linear Systems (Graphing, Substitution, Elimination Methods)
y = ½x + 1
y = -⅔x
y = 2x - 3
y = -3x + 2
y = -½x + 1
y = -5x -1
1.)
2.)
3.)
Substitution
2x + y = 8
y = x - 7
y = 3x - 6
-3x + y = -6
y = x + 4
y = 3x
1.)
2.)
3.)
Elimination
x + 2y = 7
3x - 2y = 1
8x - 9y = 19
4x + y = -7
4x - 3y = 11
3x - 5y = -11
1.)
2.)
3.)

3. Graphing linear equation
Example 1
y = 2x-3

4. Graphing linear INEQUALITY
Example 2
y < 2x-3

5. Your Turn!
y < x-1

6. Graphing linear INEQUALITY
Example 3
y ≥ 2x-3
Text

7. System of Linear Equations
Two or more linear equations together form a system of linear equations.
Your Turn!
y ≥ x-1
(2,1)

8. System of Linear INEQUALITIES
Two or more linear inequalities together form a system of linear inequalities.
Example 4
y > 2x-3
(2,1)
y < x-1

9. System of Linear INEQUALITIES
Two or more linear inequalities together form a system of linear inequalities.
Example 5
y < 2x-3
(2,1)
y > x-1

10. Your Turn!
(-1,4)
y ≤ -4x
y > x+5

11. Your Turn!
(-1,4)
y ≥ -4x
y < x+5

12. Your Turn again!
y > -½x + 2
(-2,3)
y ≥ -3x - 3

13. Your Turn again!
y > -½x + 2
(-2,3)
y ≥ -3x - 3