Lesson 25 Different Notations - Roster, Set-Builder, Interval

Lesson 25 Difference Notations - Roster, Set-Builder, Interval
3 Different Set Notations: Roster, Set-Builder, & Interval
Do Now:
Lesson 25 Difference Notations - Roster, Set-Builder, Interval
3 Different Set Notations: Roster, Set-Builder, & Interval
{1, 2, 3, ...}
#'s, integers,
rational #'s, irrational #'s, real #'s)
1)
2)
1
Translation
used for non-ending intervals in the positive direction.
used for non-ending intervals in the negative direction.
2,5
6,
,
x
Lesson 25 Difference Notations - Roster, Set-Builder, Interval
I. Writing Sets in Roster Form
1)
2) Write
3)
4)
Lesson 25 Difference Notations - Roster, Set-Builder, Interval
II. Writing Sets in Set-Builder Notation
5)
6)
7)
8)
Lesson 25 Difference Notations - Roster, Set-Builder, Interval
III. Writing Sets in Interval Notation
9)
10)
11)
12)
13)
14)
Lesson 25 Difference Notations - Roster, Set-Builder, Interval
IV. Solving Inequalities & Interval Notation
15a) Solve the following inequality for x algebraically.
15b)
5 - (2x -3) > -6
Lesson 25 Difference Notations - Roster, Set-Builder, Interval
V. Inequalities with Absolute Value
16)
Lesson 25 Difference Notations - Roster, Set-Builder, Interval
Practice Problems
1)
2)
3) Write the set in Roster Form
4) Write each inequality in Interval Notation.
a)
b)
c)
Lesson 25 Difference Notations - Roster, Set-Builder, Interval
Practice Problems
5)
6)
7)
8) Write the following set in Set-Builder Notation.