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. Invariant . Inference. Invariants. Dictionary Meaning:. A function, quantity, or . property. which remains unchanged. Property (in our context): a predicate that holds for some, all, or no states. 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 “ . for the linear functions that give the following tables and graphs. For the graphs, assume a scale of 1 for each axis..  . Find the line of best fit for . east and westbound . flights. Predict the amount of time for a flight from Chicago to Durham, which is a distance of 647 . 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?. 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?. 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.. 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.. Quiz. Tell true or false of the following statement:. . . . If c < 0, a < b, then ac > . bc. .. Linear Equation. A linear equation in one variable is an equation that can be written in the 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.. 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