1. Graphing Systems of Linear Inequalities
A-CED.3, A-REI.12

2. Table of Contents
46: Warm-Up
47: How Do I Graph a System of Linear Inequalities?

3. Warm-Up
Graph the following
1. x - 3y > x + y ≤ -1

4. 1. x + 3y > 3 -x -x
3y > -x + 3
__ -3
__ -3
__ -3
y < 1x

5. 2. 4x + y ≤ -1
-4x
-4x
y ≤ -4x - 1

6. Learning Intention/Success Criteria
LI: We are learning how to graph a system of linear inequalities SC: I know how to -graph linear equations and linear inequalities -shade linear inequalities correctly -verify if a coordinate is a solution to the given inequality

7. EQ: How Do I Graph a System of Linear Inequalities?
2/18/2019

8. Slope
A number which is used to indicate the steepness of a line and if the line is tilted uphill or downhill.
Indicated by the letter “m”
Y – Intercept
The point at which the line intersects the y-axis
Represented by the letter “b”

9. Parts of Linear Inequalities
Sign
Line
Shade
>
Above
<
Below ≥
Above ≤
Below

10. Example 1: Graph the system of linear inequalities

11. Example 1b: What equation do the coordinates satisfy? Equation
(1, 9)
g(x)
(-3, -5)
f(x)
(4, 0)
f(x), g(x)
(0, 0)
f(x)
(-2, 2)
none

12. Guided Practice 1
Graph the system of linear inequalities. State what equation the coordinate satisfies.
f(x) ≥ 4x – 3 g(x) > -2x + 3
Coord.
Eq.
(3, 5)
(-2, 9)
(0, 8)
(1, -4)
g(x)
both
both
none

13. Guided Practice 2
Graph the system of linear inequalities. State what equation the coordinate satisfies.
f(x) < 2x - 3 g(x) > -2/3x + 2
Coord.
Eq.
(3, 5)
(-2, 9)
(0, 8)
(1, -4)
g(x)
g(x)
g(x)
f(x)