Inequalities Storyboard

About the Activity

Graphical Solutions for inequalities in Two Variables: This will help you learn how to obtain graphical solutions for inequalities in two variables.

Instructions for Student

• Read the introductory slide and solve the four different kinds of inequalities to get a firm grasp of the concepts of inequalities.

Knowledge Assumptions:

• Graph lines in two variables of the form ax+by=c
• Compute x and y intercepts of a line of the form ax+by=c
• Have a text book to refer to

[Instructions to GD/Programmer- Replay button for each screen]

Graphical Solutions for Inequalities in Two variables

Screen 1

Title: Graphical Solutions for Inequalities in Two Variables. The Shaded area in the plots represents the solution area for the inequalities. Read the table given below to get a better understanding.

Inequality type	ax+by	ax+by>c	ax+by≤c	ax+by≥c
Line Type	Dotted Line	Dotted Line	Solid Line	Solid Line
Area To be shaded	Lower Half Plane	Upper Half Plane	Lower Half Plane	Upper Half Plane

Shown below pictures above show two examples of plots of inequalities in two variables

Lower Half Plane

Screen 2

Instructions to student: Graph the inequality on a sheet of graph paper

Graph the Inequality 3x+2y>6

Enter the x-intercept of the line 3x+2y=6

[Instructions to gd/programmer-choices in radio button correct answer is option 1- 2, put a green check mark next to the option if correct and a red cross mark next to the option if wrong]

1)2

2)3

3)0

4)1

Enter the y-intercept of the line 3x+2y=6

[Instructions to gd/programmer-choices in radio button correct answer is option 2-3]

1)2

2)3

3)0

4)1

Select type of Line:

[Instructions to gd/programmer: choices in a radio buttons –Correct answer: option1-Dotted Line]

1. Dotted Line
2. Solid Line

Select the area to be shaded:

[Instructions to gd/programmer: choices in radio buttons –Correct answer: option1 -Upper half plane]

1. Upper Half Plane
2. 
   

Show Graphical Solution

Lower Half Plane

Click Button

[Instructions to GD/programmer: once student clicks on the button above show the plot image with title given below]

Graphical Solution for 3x+2y>6

Screen 3

Instructions to student: Graph the inequality on a sheet of graph paper

Graph the Inequality 3x+2y≥6

Enter the x-intercept of the line 3x+2y=6

[Instructions to gd/programmer-choices in radio button correct answer is option 1- 2, put a green check mark next to the option if correct and a red cross mark next to the option if wrong]

1)2

2)3

3)0

4)1

Enter the y-intercept of the line 3x+2y=6

[Instructions to gd/programmer-choices in radio button correct answer is option 2-3]

1)2

2)3

3)0

4)1

Select type of Line:

[Instructions to gd/programmer: choices in a radio buttons –Correct answer: option2-Solid Line]

1. Dotted Line

2. Solid Line

Select the area to be shaded:

[Instructions to gd/programmer: choices in radio buttons –Correct answer: option1 -Upper half plane]

1. Upper Half Plane
2. 
   

Show Graphical Solution

Lower Half Plane

Click Button

[Instructions to GD/programmer: once student clicks on the button above show the plot image with title given below]

Graphical Solution for 3x+2y≥6

Screen4

Instructions to student: Graph the inequality on a sheet of graph paper

Graph the Inequality 3x+2y<6

Enter the x-intercept of the line 3x+2y=6

[Instructions to gd/programmer-choices in radio button correct answer is option 1- 2, put a green check mark next to the option if correct and a red cross mark next to the option if wrong]

1)2

2)3

3)0

4)1

Enter the y-intercept of the line 3x+2y=6

[Instructions to gd/programmer-choices in radio button correct answer is option 2-3]

1)2

2)3

3)0

4)1

Select type of Line:

[Instructions to gd/programmer: choices in a radio buttons –Correct answer: option1-Dotted Line]

3. Dotted Line
4. Solid Line

Select the area to be shaded:

[Instructions to gd/programmer: choices in radio buttons –Correct answer: option2 -Lower half plane]

3. Upper Half Plane
4. 
   

Show Graphical Solution

Lower Half Plane

Click Button

[Instructions to GD/programmer: once student clicks on the button above show the plot image with title given below]

Graphical Solution for 3x+2y<6

Screen 5

Instructions to student: Graph the inequality on a sheet of graph paper

Graph the Inequality 3x+2y≤6

Enter the x-intercept of the line 3x+2y=6

[Instructions to gd/programmer-choices in radio button correct answer is option 1- 2, put a green check mark next to the option if correct and a red cross mark next to the option if wrong]

1)2

2)3

3)0

4)1

Enter the y-intercept of the line 3x+2y=6

[Instructions to gd/programmer-choices in radio button correct answer is option 2-3]

1)2

2)3

3)0

4)1

Select type of Line:

[Instructions to gd/programmer: choices in a radio buttons –Correct answer: option2-Solid Line]

5. Dotted Line
6. Solid Line

Select the area to be shaded:

[Instructions to gd/programmer: choices in radio buttons –Correct answer: option2 -Lower half plane]

5. Upper Half Plane
6. 
   

Show Graphical Solution

Lower Half Plane

Click Button

[Instructions to GD/programmer: once student clicks on the button above show the plot image with title given below]

Graphical Solution for 3x+2y≤6

Screen 6

[Instructions to GD, Message with a bit of word art and music]

Congrats you have mastered the topic: Graphical Solution of Inequalities

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