1. 3.3 Graph Systems of Linear Inequalities

2. The following is a system of linear inequalities in two variables:
Is (0,0) a solution for this system??
(3, -1) is a solution for this system.
The graph of a system of linear inequalities is the graph of all solutions of the system.
A solution of a system of linear inequalities is an ordered pair that is a solution of each inequality in the system.

3. Is (1,1) a solution to this system?No

4. Graph the system and locate all the solutions.
Graph the line y = -3x -1 and “divide” the plane into 2 “half-planes”.
(5,0)
Test a point (like (5,0)) in one of the half planes to decide which half-plane to shade as solutions.
This Region
Graph the line y = x +2 (Make it “dashed”. (Why?)
y=x+2
Test a point to decide which half-plane to shade.
The set of all solutions is where the two half-planes intersect.
y = -3x - 1

5. Is (3,2) a solution to this system?
Yes

6. Graph this system of Three Inequalities.
X=0
y=0
The Region where all three half-planes intersect, is the set of solutions.

7. Graph the system
Name an ordered pair that is a solution to this system.
Name an ordered pair that is NOT a solution to this system.