PPT-1.6 Solving Linear Inequalities

p 41 Inequality Symbols Less than Greater than Less than or equal to Greater than or equal to Not equal to Linear Inequality Inequality with one variable to the first power for example 2x3lt8. System of Inequalities. Points are solutions to this system if they make . both. inequalities true.. (0,0). 0 > -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:. 1. 1. 2.. 3. 4.. Absolute Value Equations. 2. Absolute Value Inequalities. Absolute value inequalities are solved in the same way linear inequalities are solved. . Change the inequality to an equality and solve.. Wilma Reid, Head of Learning and Improvement. NHS Health Scotland . Annexe. 2. We are Scotland’s national agency for reducing health inequalities and improving health. We are a National Health Board in NHS Scotland.. Method 1: Elimination:. . Solve the simultaneous equations 2x + 3y = 5 and x – 2y = 6.. Both of these are linear and so elimination is usually the best method.. 2x + 3y = 5. x – 2y = 6. You will need to get the coefficients of either x or y the same. Multiplying the 2. If you read from left to right . 10 . “is greater than “ . 5. . X. If you read from right to left . 5. . “is less than “ . 10. . X. If you read from left to right . 5. . “is less than “ . Solving inequalities. Example. Solve the inequality . Example. Solve the inequality . Example. Solve each of the following . inequalities. (. i. ). (ii) . Representing inequalities on a set of axes. Example. Ch. 1.6. Absolute Value Equations and Inequalities . EQ: How can you solve absolute value equations and inequalities? I Will solve absolute value equations and inequalities. . Bell Work. Solve the inequality. Graph the solution. . Dr J Frost (jfrost@tiffin.kingston.sch.uk) . Last modified: . 20. th. . March 2016. Objectives: . Be able to solve both linear and quadratic inequalities. Be able to manipulate inequalities (including squared terms).. A line divides the set of all points in a plane into three disjoint subsets. These subsets are the set of points that lie on the line and the two sets of points that lie on either side of the line. . 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?. If you read from left to right . 10 . “is greater than “ . 5. . X. If you read from right to left . 5. . “is less than “ . 10. . X. If you read from left to right . 5. . “is less than “ . 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.. 5.3 Solving Multiple Step Inequalities Algebra 1 INEQUALITIES The relationship between two expressions that are NOT necessarily equal. Less Than Under Fewer Great er Than More Than