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 . 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. 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. 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?. After completing this lesson, you will be able to say. :. I. can . write an inequality to represent a constraint in a real-world or mathematical situation. .. I . can. recognize the solution to an inequality has infinitely many solutions. This lesson examines how the equal protection clause prohibits state governments from denying people “equal protection of the laws.” . Like the due process clause, the equal protection clause places limits on government, not private individuals. . By: Sid & . Zoheb. History of Linear Algebra. Emerged from the study of determinants, Leibniz. Gabriel Cramer: Cramer’s Rule. Gauss: Gaussian elimination. All were used to solve linear systems. 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.. 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. 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. 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