1. Fill in the appropriate inequality: 𝒕𝒉𝒓𝒆𝒆 𝒆𝒊𝒈𝒉𝒕𝒉𝒔 ______two thirds
Warm Up: Thursday, 09/25
Fill in the appropriate inequality:
𝟓 𝟕 _____ 𝟑 𝟓
𝒕𝒉𝒓𝒆𝒆 𝒆𝒊𝒈𝒉𝒕𝒉𝒔 ______two thirds

2. Homework P. 1 (Interval Notation for 1-4)
P. 2 (Up to Compound Inequalities)
P. 4-5, 6, 8 (All graphs using interval notation)

3. How do I determine which notation to use?
Essential Question:
How do I determine which notation to use?

4. So far we’ve gone over…

5. So far we’ve gone over…
Inequalities

6. Inequalities
x < 3

7. Inequalities on a number line
So far we’ve gone over…
Inequalities
Inequalities on a number line

8. Inequalities on a number line
x < 3

9. So far we’ve gone over…
Inequalities
Inequalities on a number line
Interval Notation

10. Interval Notation
x < 3
(-∞ , 3)

11. And last, for certain situations, we use…
Set Notation

12. Set Notation The x-values are written: {0,2,3}
A list that identifies all values for a given “set.”
Ex. (2,3),(3,-1), and (0,5)
The x-values are written: {0,2,3}
The y-values are: {-1,3,5}
Note: (-∞, ∞) is notated as {all real numbers} in set notation.

13. Set notation is especially used for…
Coordinate pairs
Points on a graph

14. And especially for…
Domain and Range

15. Domain: In a set of ordered pairs, (x, y), the domain is the set of all x-coordinates.
Range: In a set of ordered pairs, (x, y), the range is the set of all y-coordinates.

16. Ex:{(2,3),(-1,0),(2,-5),(0,-3)} Domain: {2,-1,0} Range: {3,0,-5,-3}
The set of ordered pairs may be a limited number of points.
Given the following set of ordered pairs, find the domain and range.
Ex:{(2,3),(-1,0),(2,-5),(0,-3)}
If a number occurs more than once, you do not need to list it more than one time.
Domain:
{2,-1,0}
Range:
{3,0,-5,-3}

17. The set of ordered pairs may be an infinite number of points, described by a graph.
Given the following graph, find the domain and range.

18. Practice: Find the domain and range of the following sets of ordered pairs.
1. {(3,7),(-3,7),(7,-2),(-8,-5),(0,-1)}
Domain:{3,-3,7,-8,0}
Range:{7,-2,-5,-1}

19. 2. Interval Notation: Domain: [3,∞) Range: (-∞, ∞) or
{all real numbers}

20. Class/Home Work
Identify the domain and range for all graphs (p. 3, 4, & 6)
Summary for Interval Notation
List the different notations we’ve reviewed (line, algebraic, interval, set)
Answer the EQ
Include an example of each