Learn how to graph systems of linear inequalities and absolute value inequalities in this comprehensive Algebra 2 tutorial! We'll cover everything from drawing dashed vs. solid lines to shading the correct region and identifying the overlapping solution set. This video provides step-by-step examples, including systems with two or three inequalities, and even shows you how to write the inequalities that describe a given shaded region. Master the test point method and understand how to interpret "greater than" and "less than" when graphing. Perfect for students looking to ace their Algebra 2 exams! In this video, you'll learn: The difference between graphing inequalities with dashed/dotted lines and solid lines. How to determine the shading region (above/below or left/right) for inequalities. Using the test point method to verify shading for inequalities. Graphing systems of two or more linear inequalities. Identifying the overlapping region as the solution set for a system of inequalities. Graphing systems that include absolute value inequalities. How to write the inequalities that define a given shaded solution region on a graph. Timestamps: 0:00 Introduction to Graphing Systems of Linear Inequalities 0:30 Quick Refresher: Dashed vs. Solid Lines, Shading Above/Below 1:20 Understanding the Overlapping Region (Solution Set) 2:40 Problem 1: Graphing 4:50 Problem 2: Graphing (Three Inequalities) 7:40 Problem 3: Graphing (Absolute Value Inequality) 9:40 Problem 4: Writing Inequalities from a Given Graph 10:00 Writing the Inequality for the Vertical Line 10:20 Writing the Inequality for the Horizontal Line 10:40 Writing the Inequality for the Diagonal Line 11:40 Conclusion & Review If you found this video helpful, please like, subscribe to Mario's Math Tutoring for more Algebra 2 lessons, and share your questions in the comments below! #GraphingInequalities #SystemsOfInequalities #LinearInequalities #AbsoluteValueInequalities #Algebra2 #MathTutorial #SolutionSet #ShadingRegions #MathHelp #HighSchoolMath #MarioMathTutoring Related Videos to Help You: Graphing Systems of Inequalities (Another Video) Graphing System of Quadratic Inequalities * Organized List of My Video Lessons to Help You Raise Your Scores & Pass Your Class. Videos Arranged by Math Subject as well as by Chapter/Topic. (Bookmark the Link Below) ➡️JOIN the channel as a CHANNEL MEMBER at the "ADDITIONAL VIDEOS" level to get access to my math video courses(Algebra 1, Algebra 2/College Algebra, Geometry, PreCalculus), midterm & final exam reviews, ACT and SAT prep videos and more! (Over 390+ videos)