# Solving Systems of Linear Inequalities

##### This Solving Systems of Linear Inequalities presentation also includes:

One thing that puzzles a lot of young algebrists is the factors in a word problem that are taken as "understood". This presentation on solving systems of linear inequalities does a great job walking the learner through how to tease those background constraints out of an inequality word problem. By giving a concrete set of attack strategies and then modeling the strategies in problems, this lesson makes a great add-on to your algebra curriculum.

##### Instructional Ideas

• Link on the class website for an effective before-class presentation in a flipped classroom model or for on-demand homework help in a traditional setting
• Poll local painting or other hourly service providers in the community to create and solve problems modeled on example 4
• Divide the class into small groups, and have each group come up with a word problem that would result in the system of inequalities in example 1
• Brainstorm as a class different situations that would result in a system of inequalities with understood constraints, such as x or y greater than 0
##### Classroom Considerations

• Viewing the presentation PowerPoint file requires the ability to open a *.pptx file
• Internet access and updated Java player needed to use the interactive graphing applet linked in the presentation
• Working these problems will reveal weaknesses in graphing linear equations and testing points, so consider having remediation handy
##### Pros

• Detailed description of problem-solving strategies
• Examples solved step-by-step
• Common misconceptions and mistakes discussed
• Both examples contain links to an interactive applet pre-loaded with problem information
• Two different types of examples demonstrate application of attack methods in a variety of problems
##### Cons

• Blue and gray opaque shading in the examples makes the overlap set hard to identify, especially since equations aren't graphed in each step
• The second example is numbered 4 instead of 2
• No independent practice or homework problems provided