Name: Date: Topic: Systems of Linear Inequalities Essential 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: - 4x Ring the alarm! We divided by a negative! We turned the sign! For instance: n 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: The solution to this system can only be found …

Solving Systems of Linear Inequalities x + 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, make the lines dotted (-----). b)If the inequality is, 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 (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