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Name:Date:Topic: Systems of Linear InequalitiesEssential Question: How can you determine what is the solution to a Systems of Linear Inequalities and how does it differ from Systems of Equations?
Warm-Up:
Choose ONE sheet of construction paper and wait for further instructions.
Keeping Track of Key Ideas!:
Bookmark activity!!!
Example: 8462 xx- 4x - 4x
862 x + 6 +6
142 x -2 -2
Ring the alarm! We divided by a
negative!
7xWe turned the sign!
For instance: Can you determine what is important to
remember about the following problem???
Solving Systems of Linear Inequalities
Example: a: 3x + 4y > - 4
b: x + 2y < 2
Put in Slope-Intercept Form:
Solving Systems of Linear Inequalities
Graph each line, make dotted or solid and shade the correct area.
Example, continued:
3: 1
4 a y x
1: 1
2 b y x
The solution to this system can only be found
…
Solving Systems of Linear Inequalities
x + y < 5 and 2x - y > 4
Do we need to put any of the Inequalities in Slope-Intercept Form?
Solving Systems of Linear Inequalities
y < - x + 5 and y < 2x - 4
Solving Systems of Linear Inequalities
1. We show the solution to a system of linear inequalities by graphing them.
a) This process is easier if we put the inequalities into Slope-Intercept Form, y = mx + b.
Quick - Review
Solving Systems of Linear Inequalities
2. Graph the line using the y-intercept & slope.
a) If the inequality is < or >, make the lines dotted (-----).
b) If the inequality is < or >, make the lines solid ( ).
Quick - Review
Solving Systems of Linear Inequalities
3. The solution also includes points not on the line, so you need to shade the region of the graph:
a) above the line for ‘y >’ or ‘y ’.b) below the line for ‘y <’ or ‘y ≤’.
Quick - Review
Graph
y ≥ -3x -1 and y < x + 2
If you are done Challenge yourself:
x ≥ 0, y ≥ 0, and 4x + 3y ≤ 24
Write a system of inequality for the following graph.
Practice:
Page 398-400 (1, 2, 8, 10, 14, 15, 22, 23, 30)
Wrap-Up:
Home-Learning Assignment #5:
Page 393 – 394 (10, 18, 23, 24, 32)
Page 399 – 400 (9, 16, 18, 24, 33) Summary
Vocabulary Review
