1. L3-3 Objective: Students will graph systems of linear inequalities
Warm Up Is (3,2) a solution to the systems? 1. 3x – 2y = 5 x + 4y = x + y > 4 2x < y – x + y > 5x -5y + 10 ≤ 3

2. Find whole number solutions of each system using tables.
Given x + y ≤ 6
3x + 4y = 20
Build a table
Pick values for x
Values of y x 1 2 3 4 5 6

3. Next find the ordered pairs that make the second equation true
For each value of x
solve for y in the first
equation.
( 0 + y ≤ 6; y ≤ 6 )
Write in the values
that work.
Repeat the process
for each value of x.
Next find the ordered pairs
that make the second
equation true
(0,5) & (4,2)
Y values x 1 2 3 4 5 6
6, 5, 4, 3, 2, 1, 0…
5, 4, 3, 2, 1, 0…
4, 3, 2, 1, 0…
3, 2, 1, 0…
2, 1, 0…
1, 0… 0…

4. Ex 1: Graph the solution
x + y < 4
2x – 5y ≥ 10

5. Practice
These are to be done on your whiteboard
Graph the solutions

12. 8.

13. 9.

14. 10.
Homework L3.3 (p. 138) #4-40e