PPT-System of 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 lt gt 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.. Learning Targets. I can solve systems of inequalities by graphing.. I can determine the coordinates of the vertices of a region formed by the graph of a system of inequalities.. Quick Review of Inequalities. 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:. 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. Subtraction. Lessons 3-1 and 3-2. Addition Property of Inequalities – If any number is ________________ to each side of a true ___________________, the resulting inequality is also ________________.. 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. Sarah Manson. National Screening Programmes – Policy Lead. Scottish Snapshot. International . Cancer Benchmarking Project: 5 year colorectal % cancer survival rates (similar findings for other cancer types). 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).. Subtracting . (SOL 7.15). Key Concept. Addition Property of Inequalities. Words: If any number is added to each side of a true inequality, the resulting inequality is also true.. Symbols: For all numbers a, b, and c, the following are true;. 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.. Use a system of linear inequalities to model a real-life situation.. Standard Form of Word Problems. Define variables. Write out the system. Graph the inequalities. Write 2 possible solutions. Word Problem #1. 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