PPT-Lesson 91: Linear Inequalities, Greater Than or Equal to, Less than or Equal to, Systems

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 . Clean regularly the chain with an appropriate chaincleaner Never use alkali based or acid based solvents such as rust cleaners If those solvent be used chain might break and cause serious injury In order to obtain good gear shifting performance the But when you have too much in your blood it can build up on the walls of your arteries This can lead to heart disease and strokeleading causes of death in the United States Are you at risk About one in every six adult Americans has high cholesterol 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: 2x-3<8. 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. Solving inequalities follows the same procedures as solving equations.. There are a few . special . things to . consider with inequalities:. We need to look carefully at the inequality sign.. 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?. 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. . Unit 8 . – Solving Inequalities. Vocabulary. Inequality. – A mathematical sentence that compares two unequal expressions using one of the symbols:. < (less than). > (greater than) . ≤ (less than or equal to). 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. . 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.. A.CED.1 Create equations and inequalities in one variable and use them to solve problems. Include equations arising from linear and exponential factors. .  . SWBAT create a single variable equation.