Linear Inequalities

Tim Brzezinski, Oct 16, 2015

Contains applets involving linear inequalities: 1 Variable & 2 Variables

Table of Contents

  1. Inequalities with 1 Variable
    1. Quick Inequality Question Generator
    2. Graphing Basic Inequalities: 1 Variable (Quiz)
    3. Interval Notation Illustrator: Single Sets & Conjunctions
    4. Interval Notation: Quiz (Single Sets & Conjunctions)
    5. Interval Notation Illustrator (II): Single Sets, Conjunctions, Disjunctions
    6. Interval Notation Quiz: Single Sets, Conjunctions, Disjunctions
    7. Inequality: Graph Illustrator
    8. Simple Logic?
    9. Translating and Graphing Basic Inequalities
  2. Solving Linear Inequalities (1 Variable): Problem Generators with Feedback
    1. Linear Inequality Generator (1A)
    2. Linear Inequality Generator (1B)
    3. Linear Inequality Generator (II)
  3. Inequalities with 2 Variables
    1. Linear Inequalities of 2 Variables: Illustrator
    2. Graphing Linear Inequalities with 2 Variables (Quiz)
    3. Inequalities in Standard Form (Illustrator)
    4. Graphing Linear Inequalities Written in Standard Form (Quiz)
    5. Solutions to Linear Inequalities

1.

Inequalities with 1 Variable

  • 1. Quick Inequality Question Generator
  • 2. Graphing Basic Inequalities: 1 Variable (Quiz)
  • 3. Interval Notation Illustrator: Single Sets & Conjunctions
  • 4. Interval Notation: Quiz (Single Sets & Conjunctions)
  • 5. Interval Notation Illustrator (II): Single Sets, Conjunctions, Disjunctions
  • 6. Interval Notation Quiz: Single Sets, Conjunctions, Disjunctions
  • 7. Inequality: Graph Illustrator
  • 8. Simple Logic?
  • 9. Translating and Graphing Basic Inequalities

1.1.

Quick Inequality Question Generator

– Tim Brzezinski

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1.5.

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2.

Solving Linear Inequalities (1 Variable): Problem Generators with Feedback

  • 1. Linear Inequality Generator (1A)
  • 2. Linear Inequality Generator (1B)
  • 3. Linear Inequality Generator (II)

2.1.

Linear Inequality Generator (1A)

[b]Teachers:[/b][br][br]This applet generates random linear inequalities with variable on one side. [br]The "x-term" of each inequality generated has a POSITIVE COEFFICIENT. [br]For inequalities where students end up dividing both sides by a negative coefficient, click here.
[color=#000000][b]Students:[/b][br][br]Solve each generated inequality on a separate sheet of paper. [br]Enter the solution set to this inequality on the right side of the applet. [br]As you do, select the appropriate operation on the right side of the applet. [br]Enter in an exact boundary value in the input box (i.e. enter "1/3" and not 0.33). [br][br][/color][color=#ff00ff][b]If you enter in the solution set to an inequality correctly, you'll see a big "CORRECT!!!" sign appear. [/b][/color][color=#1e84cc][b]If you don't see this sign, go back to your work to see if you can find your mistake! [/b][/color]
– Tim Brzezinski

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3.

Inequalities with 2 Variables

  • 1. Linear Inequalities of 2 Variables: Illustrator
  • 2. Graphing Linear Inequalities with 2 Variables (Quiz)
  • 3. Inequalities in Standard Form (Illustrator)
  • 4. Graphing Linear Inequalities Written in Standard Form (Quiz)
  • 5. Solutions to Linear Inequalities

3.1.

Linear Inequalities of 2 Variables: Illustrator

Suppose we graph the inequality [math]y>\frac{1}{2}x+2[/math]. This graph can be described as
Suppose we graph the inequality [math]y<\frac{1}{2}x+2[/math]. This graph can be described as
Suppose we graph the inequality [math]y\le\frac{1}{2}x+2[/math]. This graph can be described as
Suppose we graph the inequality [math]y\ge\frac{1}{2}x+2[/math]. This graph can be described as
– Tim Brzezinski

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