Math III, Unit 1 Lesson 4 PowerPoint - Ciclt.net

Warm UpThursday,December 09,2010Solve each equation or inequality.Graph the solution on a number line.1. 2c + 7 = 12. -12 ≤ -6r3. 3m + 8 > 51. c = -32. r ≤ 23. m > -1EQ: What does the solution region to a system of linear inequalities represent?

Thursday,December 09,2010Unit 2Lesson 2EssentialQuestionStandardsObjectivesVocabularySystems of Linear EquationsSystems of Linear InequalitiesWhat does the solution region to a system of linearinequalities represent?M.ALGII.4.13EQ: What does the solution region to a system of linear inequalities represent?

Thursday,December 09,2010Unit 3: Lesson 4What is a linearinequality and how do yougraph one?What we’re learningtoday:•How to find thesolution to a systemof linear inequalitiesEQ: What does the solution region to a system of linear inequalities represent?

Thursday,December 09,2010EQ: What does the solution region to a system of linear inequalities represent?

Thursday,December 09,2010EQ: What does the solution region to a system of linear inequalities represent?

Thursday,December 09,2010EQ: What does the solution region to a system of linear inequalities represent?

Thursday,December 09,2010EQ: What does the solution region to a system of linear inequalities represent?

Thursday,December 09,2010EQ: What does the solution region to a system of linear inequalities represent?

Thursday,December 09,2010y1> x−23Is (5, -8) a solution?Is (1, 3) a solution?Is (-4, -5) a solution?EQ: What does the solution region to a system of linear inequalities represent?

Thursday,December 09,2010Graphing aLinear Inequality1)Solve the inequality for y.2)Graph the line using the slope andy-intercept. Use a solid line for ≤or ≥ and a dashed line for < or >.3)Shade above the line for “y > …”or “y ≥ …” and shade below for “y< …” and “y ≤ …” Use a test pointif necessary to check for propershading.EQ: What does the solution region to a system of linear inequalities represent?

Thursday,December 09,2010⎧⎪⎨⎪⎩yy> 2x−3≤ −2 x + 53Is (2, 7) a solution?Is (5, 3) a solution?EQ: What does the solution region to a system of linear inequalities represent?

⎧ y > 2x− 6⎪⎨ x ≥ −2⎪⎩y≤ − 1x + 42Is (2, 1) a solution?Thursday,December 09,2010Is (2, -7) a solution?EQ: What does the solution region to a system of linear inequalities represent?

Ex: : Graph the system.x-2y≤ 3y ≥ 3x- 41 st inequalityx-int(3,0)y-int(0, -3/2)Test point?2 nd inequalityy-int(0,-4)Slope: 3Test point?Thursday,December 09,2010EQ: What does the solution region to a system of linear inequalities represent?

x ≤ 0y ≥ 0x – y ≥ -21 stEx: Graph the system.st inequal.Vertical line2 nd inequal.Horizontal line3 rd inequal.x-int(-2,0)y-int(0,2)Thursday,December 09,2010EQ: What does the solution region to a system of linear inequalities represent?

Thursday,December 09,2010•Worksheet:-EQ: What does the solution region to a system of linear inequalities represent?