GRAPHING LINEAR INEQUALITIES ALGEBRA 1 BOOK SECTION 5

GRAPHING LINEAR INEQUALITIES ALGEBRA 1 BOOK SECTION 5. 6 Essential Question: What is the process for graphing linear inequalities on a coordinate plane?

A poll showed that 62% of the voters are in favor of a proposed law. The margin of error was 2. 5%. What is the range of the percent of voters p who are in favor of the law? A. 62% ≤ p B. 59. 5% < p < 64. 5% C. 59. 5% ≤ p ≤ 64. 5% D. 59% < p < 65%

Content Standards A. CED. 3 Represent constraints by equations or inequalities, and by systems of equations and/or inequalities, and interpret solutions as viable or nonviable options in a modeling context. A. REI. 12 Graph the solutions to a linear inequality in two variables as a half-plane (excluding the boundary in the case of a strict inequality), and graph the solution set to a system of linear inequalities in two variables as the intersection of the corresponding half-planes. Mathematical Practices 5 Use appropriate tools strategically. Common Core State Standards © Copyright 2010. National Governors Association Center for Best Practices and Council of Chief State School Officers. All rights reserved.

You graphed linear equations. • Graph linear inequalities on the coordinate plane. • Solve inequalities by graphing.

• Boundary • closed half-plane • Half-plane • open half-plane

3 Steps for Graphing a Linear Inequality: 1. Isolate y (NEED y=mx+b) 2. Plot y int (b) and Slope (m) and Draw Line *** Dashed Line < > *** Solid Line ≤ ≥ 3. Shade Above or Below the Half Plane with the correct solution REMEMBER TO REVERSE INEQ SIGN IF YOU * or / BY A NEG #

Cornell Notes EXAMPLE 1 – Graph an Inequality Graph y > 2 x + 3.

Cornell Notes EXAMPLE 2 – Graph an Inequality Graph x + 4 y 8.

You Try – Graph an Inequality Graph y – 3 x < 2.

You Try – Graph an Inequality Graph x + 2 y ≤ 6.

Cornell Notes EXAMPLE 3 – REAL LIFE JOURNALISM Ranjan writes and edits short articles for a local newspaper. It takes him about an hour to write an article and about a half-hour to edit an article. If Ranjan works up to 8 hours a day, how many articles can he write and edit in one day? Let x equal the number of articles Ranjan can write. Let y equal the number of articles that Ranjan can edit. Write an open sentence representing the situation.

Cornell Notes EXAMPLE 3 – REAL LIFE *GRAPH INEQUALITY TO REPRESENT ALL POSSIBLE COMBINATIONS FOR RANJAN

WILL COMPLETE EXIT SLIP MONDAY AFTER THE 5. 6 DAY 2 REVIEW When done… • Write Cornell Notes Summary