PPT-7.6 Systems of Linear Inequalities Word Problems

Goal Use a system of linear inequalities to model a reallife situation Word Problems Most of these problems will not give you a slope and yintercept You will not be writing inequalities in SlopeIntercept Form. e Ax where is vector is a linear function of ie By where is then is a linear function of and By BA so matrix multiplication corresponds to composition of linear functions ie linear functions of linear functions of some variables Linear Equations 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.. By: Morgan Shade . Absolute Value. The number’s distance away from zero. Can’t be a negative number. Examples:. │3│= 3. │-10│= 10. │0│= 0. Absolute Value Equations. Isolate the Absolute Value. 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. 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. 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. 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?. 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. . Ch. 1.5 . Solving Inequalities . EQ: How can you create and solve inequalities? I will create and solve inequalities. . Bell Work. . EQ: How can you create and solve inequalities? I will create and solve inequalities. . What we will learn. Solve multistep inequalities. Ex. . 1 . 2 step inequalities. Solve. Must Flip sign when multiplying or dividing by a negative.  . Solve.  . Your Practice. Solve.  . Ex. 2 Variable on Both Sides. Inequality Symbols. < . > . <. . >. . = . ≠. Less Than. Greater . Than. Less . Than or Equal To. Greater Than or Equal To. Equal To. Not Equal To. 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.