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Linear Inequalities

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Linear Inequalities - InterActivities and DIY

Plotting Linear Inequalities on the Number Line (1 Variable)

Inequality1.jpg

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)Zip.gif    Completely offlineZip.gif

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)

Inequality2 interA.jpg

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)Zip.gif     Standalone downloadZip.gif

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)

Lp1.png   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, ...)

Htm.gifExample 1     Htm.gifExample 2     Htm.gifExample 3    

YouTube videos are captioned so good for reading, deaf, online translation, ...

Related topics: Linear Equations

Keywords: linear programming, inequality, plane, shading, linear equations, systems


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