This page is designed to accompany Compound Inequalities Starter File. When you click "Run" you will see 4 graphs. The first two are simple inequalities and the second two are compound inequalities.

1 What does and-intersection do?

2 Why is the circle on 5 red and the circle on 15 green?

3 Do you think every graph made with and-intersection will have different color dots at the ends? Why or why not?

4 What does or-union do?

5 Why did the graph of this or-union result in the whole numberline being shaded blue?

6 Not all graphs of or-union will look like this. Can you think of a pair of inequalities whose union won’t shade the whole graph?

Change the function definition on line 8 to x < 5 and the definition on line 9 to x \ge 15 and, before you click "Run", take a moment to think about what the new graphs of and-intersection and or-union will look like. Then click "Run" and take a look.

7 What does the new and-intersection graph look like?

8 What does the new or-union graph look like?

9 Why is the dot for 5 red and the dot for 15 green?

10 Which of the 8 numbers from the list are part of the solution set? How do you know?

11 Is 3 part of the solution set? How do you know?

12 Is 10 part of the solution set? How do you know?

These materials were developed partly through support of the National Science Foundation, (awards 1042210, 1535276, 1648684, and 1738598). CCbadge Bootstrap by the Bootstrap Community is licensed under a Creative Commons 4.0 Unported License. This license does not grant permission to run training or professional development. Offering training or professional development with materials substantially derived from Bootstrap must be approved in writing by a Bootstrap Director. Permissions beyond the scope of this license, such as to run training, may be available by contacting