PPT-Graphing a System of Inequalities

System of Inequalities Points are solutions to this system if they make both inequalities true 00 0 gt 1 0 5 True True The Solution region is where the shadings overlap For instance the following point is in the solution region because it satisfies both inequalities. Alg. 2. Mr. Carpenter. BEWARE!!!… . QUIZ . AFTER. System of Inequalities. The . ONLY. difference between a system of . EQUATIONS. and a system of . INEQUALITIES. is that the equations have an “=“ sign and inequalities have “≥, <, >, or ≤.” Which means that… . 1. Solve . the system of inequalities by graphing.. {. 2. Write a system . of inequalities . that describes the green region.. . . Class Greeting. Objective: Students will solve real world word problems by graphing systems of linear inequalities in two variables.. Algebra 2 CP. Graphing Inequalities in the Coordinate Plane. When a line is drawn in a plane, the line separates the plane into __________ distinct regions called . ________________. . The line itself is the . Unit: Optimization. Systems of Inequalities. When solving a system of inequalities, you are looking for a SOLUTION SET that satisfies ALL linear inequalities involved.. Steps. Rearrange all rules into Function Form. Notes Part . 13. Systems of Linear Inequalities. Just . like when graphing systems of linear equations, you can graph systems of linear inequalities. . First. , graph both inequalities on the coordinate plane, shading where appropriate. . Solve for x.. 2. . . 3. . . . 4. .  . Unit 3 Day 5: Solving One and Two Step Linear Inequalities. Essential Questions:. How do we graph linear inequalities in one variable? How do we solve one and two step linear inequalities?. Evaluating Inequalities. Solving Inequalities. Math Notes – Solving and Graphing Inequalities. Today’s Lesson Concepts. Essential Question. Skill. How do I use symbolic manipulation skills ("magic" tricks) to rewrite expressions? . Lesson 2: One-Step Inequalities. Cornell Notes Header. Topic:. . Inequalities . & Two-Step Equations (Unit 7 pg. 2). E.Q.: . How. are one-step equations similar and different than one-step inequalities?. Inequality Symbols. < . > . <. . >. . = . ≠. Less Than. Greater . Than. Less . Than or Equal To. Greater Than or Equal To. Equal To. Not Equal To. Goal:. Use a system of linear inequalities to model a real-life situation.. Word Problems. Most of these problems will not give you a slope and y-intercept.. You will not be writing inequalities in Slope-Intercept Form.. Goal:. Use a system of linear inequalities to model a real-life situation.. Word Problems. Most of these problems will not give you a slope and y-intercept.. You will not be writing inequalities in Slope-Intercept Form.. Goal:. Use a system of linear inequalities to model a real-life situation.. Word Problems. Most of these problems will not give you a slope and y-intercept.. You will not be writing inequalities in Slope-Intercept Form.. Objectives:. To solve a system of linear equations by graphing. To classify a system of linear equations as consistent (independent and dependent) or inconsistent. To graph a system of linear inequalities. Scientist interpret tables, graphs, and diagrams to locate data, examine relationships in the data, and extend those relationships beyond the data.. Reading graphs can be like reading a foreign language though. It come easy to some and very difficult to others..