Inequality-One Variable
1. What is an inequality?
1. Inequality Comparison Generator
2. Graphing
1. Number Line Inequalities
3. Flipping Inequality
1. Inequalities Investigation
4. Solving
1. LR1-06-CYU3 (Solving inequalities)
5. Solving pt 2
1. Linear Inequality Generator (1B)
2. 8.EEI.7 - Linear Inequality Generator (Multistep)

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Inequality-One Variable

Sara, Oct 21, 2019

Solving One Variable Inequalities

What is an inequality?
1. Inequality Comparison Generator
Graphing
1. Number Line Inequalities
Flipping Inequality
1. Inequalities Investigation
Solving
1. LR1-06-CYU3 (Solving inequalities)
Solving pt 2
1. Linear Inequality Generator (1B)
2. 8.EEI.7 - Linear Inequality Generator (Multistep)

What is an inequality?

1. Inequality Comparison Generator

Inequality Comparison Generator

Reading Inequality Symbols[math][/math][br]We use symbols to describe different types of inequalities. [br][br][table][tr][td]Maths Language[/td][td]English Language[/td][/tr][tr][td][color=#ff0000]10 < 12[/color][/td][td][color=#ff0000]10 [i]is less than[/i] 12[/color][/td][/tr][tr][td][color=#ff7700]12 > 10 [/color][/td][td][color=#ff7700]12 [i]is greater than [/i]10[/color][/td][/tr][tr][td][math]7\le7[/math][/td][td][color=#bf9000]7 [i]is less than or equal to[/i] 7[/color][/td][/tr][tr][td][math]x\le7[/math][/td][td][color=#38761d]x [i]is less than or equal to[/i] 7[/color][/td][/tr][/table][br][table][tr][td][math]8\ge8[/math] [/td][td][color=#1155cc]8 [i]is greater than or equal to[/i] 8[/color][/td][/tr][tr][td][math]x\ge8[/math][/td][td][color=#351c75]x [i]is greater than or equal to[/i] 8[/color][/td][/tr][tr][td][/td][td][/td][/tr][tr][td][/td][td][/td][/tr][/table][br]

[size=200]Select the correct comparison.[/size]

Compare 10 sets of numbers before moving on to the next question.

[size=150][size=100]a) What does the inequality [math]x\le4[/math][math][/math]mean? [br][br][br]b) Is there only one number that could be a solution?[/size][/size]

2.

Graphing

1. Number Line Inequalities

2.1.

Number Line Inequalities

[size=150][size=200]Graphing the Solution Set for Inequalities [/size][/size][br]After solving an inequality, you are often asked to graph it. [br][u][br]Graphing inequalities a visual way of looking at all the possible answers using the number line. [/u][br][br]When you graph an inequality, it does matter if your dot is filled in or open. [br][br]You use an [color=#cc0000]open dot if[/color] [br]the solution uses the symbol for [color=#cc0000]"less than" or "greater than." [/color][br][br]You use a [color=#0000ff]filled-in dot if [/color][br]the solution uses the symbol for[color=#0000ff] "greater than or equal to" or "less than or equal to." [br][/color][br][color=#38761d]Why? [br][br]Think about it before reading the answer below. [/color][br][br][color=#38761d]---------------------------------------------------------------------------------------[br][br][br][br][br][br][br][br]Answer: The filled-in dot is representing that it can include this number, whereas the open dot is representing that this number itself should be excluded (the circle is surrounding this number but not including it).[/color][br][br]Use the activity below to practice graphing solution sets.

How do you know when to use an open or closed circle? Select all that apply.

A closed circle is used when the boundary value is not included in the solution. A closed circle is used when the boundary value is included in the solution. An open circle is used when the boundary value is not included in the solution. An open circle is used when the boundary value is included in the solution.

3.

Flipping Inequality

1. Inequalities Investigation

3.1.

Inequalities Investigation

Complete the table of values on the investigation paper.

Which operations caused the inequality sign to flip?

4.

Solving

1. LR1-06-CYU3 (Solving inequalities)

4.1.

LR1-06-CYU3 (Solving inequalities)

This was created for the [url=https://cemc.uwaterloo.ca/resources/courseware/grade-9-10-11.html]CEMC Grade 9/10/11 courseware[/url]. Search the [url=https://cemc2.math.uwaterloo.ca/resources/courseware/grade-9-10-11-interactive-library.php]interactive library[/url] to find the associated lesson.

5.

Solving pt 2

1. Linear Inequality Generator (1B)
2. 8.EEI.7 - Linear Inequality Generator (Multistep)

5.1.

Linear Inequality Generator (1B)

[b]Teachers:[/b][br][br]This applet generates random linear inequalities with variable on one side. [br][b][color=#0000ff]It also generates inequalities where students end up dividing both sides by a negative coefficient. [br][/color][/b]To generate practice problems where the "x"-term has positive coefficient only, [url=https://www.geogebra.org/m/ubFgtQcw]click here[/url].

[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]

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