PPT-1.03 Systems of 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. Mathematical Programming. Fall 2010. Lecture . 4. N. Harvey. TexPoint. fonts used in EMF. . Read the . TexPoint. manual before you delete this box. .: . A. A. A. A. A. A. A. A. A. A. Outline. Solvability of Linear Equalities & Inequalities. b. y. Tammy Wallace. Varina High School. What is a System of . Inequality?. A SYSTEM OF EQUATIONS is: . SOLUTIONS . to . a SYSTEM . OF . INEQUALITIES are. :. two or more . linear inequalities . with . 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:. 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 ________________.. 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. . 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