Name: ____________________________________Date: _____________
Linear Inequalities Introduction
1. Bill is 4 years older than Harris, who is 5 years old. How old is Bill?
Plot Bill’s age on the number line.
2. Now: Bill is at least 4 years older than Harris, who is 5 years old. How old is
Bill?
Plot Bill’s age on the number line after you have completed the worksheet.
3. Review:
What does the symbol
mean?
What does the symbol
mean?
What does the symbol
mean?
What does the symbol
mean?
4. So, what do you think a
9 means (if a represents a number)?
We call a 9 an inequality.
What are some values that could work for a?
What are some values that could not work for a?
5. How is a
6. a
9 different from a = 9?
9 on graphed on the number line below.
Why is there an open circle at 9?
Why shade to the right?
7. How is a
8. a
9 different from a
9?
9 is graphed on the number line below.
Why is there now a closed circle at 9?
9. What does y
Why shade to the right?
12 mean (if y represents a number)?
Its graph would have a(n) open / closed circle. (Circle your choice)
Its graph would be shaded to the left / right. (Circle your choice)
10. What does b
-5 mean (if b represents a number)?
Its graph would have a(n) open / closed circle. (Circle your choice)
Its graph would be shaded to the left / right. (Circle your choice)
11. Graph each inequality on the number line below it.