1. Set & Interval Notation
Inequalities

2. Age span of students at Campbell
From _____ to ______

3. Height differences of students in this class
From _____ to ______

4. Number of cousins for the students in this class
From _____ to ______

5. Notation on a number line
Age span of students at Campbell
From ____ to ______

6. Notation on a number line
Number of cousins for the students in this class
From ____ to ______

7. Notation on a number line
Height differences of students in this class
From ____ to ______

8. Notation on a number line
All the numbers less than 5
Write as an inequality:

9. Notation on a number line
All number between -5 and 8
Write as an inequality:

10. Notation on a number line
All number between -2 and 4
Write as an inequality:

11. Notation on a number line
All numbers greater than 3 and less than 1
Write as an inequality:

12. Warm Up: 09/24 ½ ______ ¼ 8 9 ____ 8 11 2 3 ______ 4 6 1 9 ____ 3 9
Fill in the sign (> , < , > , < , =) for each:
½ ______ ¼
2 3 ______ 4 6
8 9 ____ 8 11
1 9 ____ 3 9

13. Page 1 from your worksheet from yesterday
Review
Page 1 from your worksheet from yesterday

14. Homework Quiz P.7 (#4 all): draw the number lines
You may use your own homework
Raise your hand when finished
Please sit quietly until everyone is finished

15. Interval Notation
Defined: A notation for representing an interval as a pair of numbers.

16. Interval Notation The numbers are the endpoints of the interval
Parenthesis and/or brackets show whether endpoints are included/excluded
Ex: [3,8) is the interval of real numbers between 3 and 8, including 3 and excluding 8

17. Interval Notation
Notation can be used to describe any group of numbers.
For example, consider the set of numbers that are all greater than 5.
I.e. all the numbers starting from 6 to infinity.
 (5,∞)

18. (-1, 3 ) Bounded & Open GRAPH: -1 < x < 3
ORDER and INTERVAL NOTATION
GRAPHING THE NUMBER SETS ON THE NUMBER LINE
GRAPH: -1 < x < 3 2 4 6 -2 -4 -6
INTERVAL NOTATION (AND TYPE)
(-1, 3 )
Bounded & Open

19. [-6, -½ ] Bounded & Closed GRAPH: -6 < x < -½
ORDER and INTERVAL NOTATION
GRAPHING THE NUMBER SETS ON THE NUMBER LINE
GRAPH: -6 < x < -½ 2 4 6 -2 -4 -6
INTERVAL NOTATION (AND TYPE)
[-6, -½ ]
Bounded & Closed

20. ( 0, 2.3 ] GRAPH: 0 < x < 2.3 INTERVAL NOTATION (AND TYPE)
ORDER and INTERVAL NOTATION
GRAPHING THE NUMBER SETS ON THE NUMBER LINE
GRAPH: 0 < x < 2.3 2 4 6 -2 -4 -6
INTERVAL NOTATION (AND TYPE)
( 0, 2.3 ]
Bounded &
Half-Open

21. (-2, ∞) GRAPH: x > -2 INTERVAL NOTATION (AND TYPE) Unbounded & Open
ORDER and INTERVAL NOTATION
GRAPHING THE NUMBER SETS ON THE NUMBER LINE
GRAPH: x > -2 2 4 6 -2 -4 -6
INTERVAL NOTATION (AND TYPE)
(-2, ∞)
Unbounded &
Open

22. (- ∞, 4.5 ] Unbounded & Closed GRAPH: x < 4.5
ORDER and INTERVAL NOTATION
GRAPHING THE NUMBER SETS ON THE NUMBER LINE
GRAPH: x < 4.5 2 4 6 -2 -4 -6
INTERVAL NOTATION (AND TYPE)
(- ∞, 4.5 ]
Unbounded &
Closed