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Linear Inequalities
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Linear Inequalities - InterActivities and DIY
Plotting Linear Inequalities on the Number Line (1 Variable)
User interacts with linear inequalities (e.g. x>2) on the number line in a variety of ways (6th-7th grade and up).(Last updated: 31 Jan 2009.)
Online Activities with Inequalities on the Number Line
- A0: Input an inequality (e.g. 3x>=5-2x) it is simplified (e.g. x≥1) and plotted on the number line.
- A1: The interactivity plots an inequality on the number line and gives the endpoint. User must input the correct inequality sign.
- A2: The interactivity generates a random inequality. User must draw endpoint, tell if open or closed and in which direction the arrow should go.
- A4: Input 2 inequalities (e.g. 3x>=5-2x and x<8). They are simplified, plotted and the resulting interval of intersection (e.g. [1,8)) is given.
Download of menu and all 4 activities:
School version (geogebra webstart)
Completely offline
Activity and MetaData for Activity
For more activities by Dr. Linda Fahlberg-Stojanovska visit Algebra & Functions with GeoGebra
Related topics:Number_Lines
Keywords:inequality, number line, numberline, interval
Graphing Linear Inequalities in the Plane (2 Variables)
InterActivities with Linear Inequalities & Equations in 2 Variables (8th grade and up) (Last updated: 31 Jan 2009.)
Online Activities with Inequalities on the Number Line
- A0: Input an inequality (e.g. 6x+2y-1>=2-y) it is simplified (e.g. y≥-2x+1) and plotted in the plane.
- A1: The interactivity plots an inequality in the plane and gives the equation of the bounding line. User must input the correct inequality sign.
- A2: The interactivity generates a random inequality. User must draw 2 points on the line, tell if dashed or solid or closed and which corner to shade.
- A4: Input 2 inequalities. They are simplified and the resulting regions in the plane are drawn.
Download of menu and all 4 activities:
Online Activity
School version (uses GeoGebra webstart)
Standalone download
Activity and MetaData for Activity
For more activities by Dr. Linda Fahlberg-Stojanovska visit Algebra with GeoGebra
This activity was a joint project with myself and piman and mathmagic who contribute endlessly and freely to the Geogebra Forum.
Related topics: Linear Equations
Keywords: inequality, plane, shading, linear equations, systems
Linear Programming with GeoGebra (2 Variables)
December 2009
Get your pupils/students doing linear programming with GeoGebra. Helps them just enough so that they have to understand the math!
Each example has YouTube video explaining the process and how to use Geogebra and the polygon tool to "fake shading" and to test the objective function. (YouTube videos are HD and captioned so good for reading, deaf, online translation, ...)
YouTube videos are captioned so good for reading, deaf, online translation, ...
Related topics: Linear Equations
Keywords: linear programming, inequality, plane, shading, linear equations, systems
