PPT-REPRESENTING LINEAR INEQUALITIES ON GRAPHS

You can represent an inequality on a graph There are some important rules to follow If the inequality is or the boundary line for the region is shown by a solid line If the inequality is gt or lt the boundary line for the region is shown as a . Sometimes, two graphs have exactly the same form, in the sense that there is a one-to-one correspondence between their vertex sets that preserves edges. In such a case, we say that the two graphs are . 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. L. á. szl. ó. . Lov. á. sz. Eötvös Loránd University. Budapest . September 2012. 1. September 2012. Tur. á. n’s Theorem . (special case proved by Mantel):. . G. contains no triangles .  #edges. 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. 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. 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?. Section . 10.3. Representing Graphs: . Adjacency Lists. Definition. : An . adjacency list . can be used to represent a graph with no multiple edges by specifying the vertices that are adjacent to each vertex of the graph.. 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. . L. á. szl. ó. . Lov. á. sz. Eötvös Loránd University. Budapest . September 2012. 1. September 2012. Tur. á. n’s Theorem . (special case proved by Mantel):. . G. contains no triangles .  #edges. 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