NAME: _____________________________
UFID - ___ ___ ___ ___ - ___ ___ ___ ___
Suggested Exercises 10 – Page 1 of 9
Suggested Exercises 10 – Lecture 11
When turning in this assignment, this sheet must be stapled to the front with all
ORGANIZED scratch work
behind it.
Please write your final answers on this sheet in the answer block provided and circle your final answers on your scratch
work copy. Scratch work should be appropriately spaced apart and numbered.
•
Rewrite the ordered pair as its set definition or the set definition as its ordered pair. Simplify the set definition, if
possible.
•
Example:
g2,3G = ±²2³,²2,3³´
,g2,2G = ±²2³,²2,2³´ = ±²2³,²2³´ = ±²2³´
1)
g1,7G =
_______________________________.
2)
g5,5G =
_______________________________.
3)
±²1³´ =
_______________________________.
4)
±²9³,²81,9³´ =
_______________________________.
•
Rewrite the ordered list as a nested group of ordered pairs or the nested group of ordered pairs as an ordered
list. See Lecture 11, page 4 and 5 for reference.
•
Example:
g1,2,3,4G = µ1,¶2, g3,4G·¸
,
¶1, g2,3G· = g1,2,3G
5)
g1,2,3,4,5,6G =
______________________________________________________________.
6)
g!,
@
, #, $, %,
,∗G =
______________________________________________________________.
7)
µ¹, ¶2, g6,8G·¸ =
______________________________________________________________.
8)
º», µ!, ¶9, g¼,
G·¸½ =
______________________________________________________________.
•
Find the Cartesian Product of the two Sets. Show work on this page.
•
Example:
¾ = ²¿, 1³
,
À = ²Á, 2³
,
¾ × À = ²g¿, ÁG,g¿, 2G,g1, ÁG, g1,2G³
9)
Â = ²0,Ã, #³
,
,
Â × » =
10)
Â = ²0,Ã, #³
,
,
» × Â =
11)
Æ
ÇÈ
= ²0,2,4,6,8³,É
Ê
= ²0,3,6,9³
,
É
Ê
× Æ
ÇÈ
=
•
Find the cardinality of the Cartesian product given the definition of the two parent sets.
•
Example:
¾ = ²¿, 1³
,
À = ²Á, 2³
,
|¾ × À| =
4
12)
Â
ÇÈ
= ²0,1,2, …, 9³
,
Æ
ÇÈ
= ²0,2,4,6,8³
,
|Æ
ÇÈ
× Â
ÇÈ
| =
______________
13)
¾ = The Set of all Capital Letters in the Alphabet
,
¿ = The set of all lower case letters in the Alphabet
,
|¾ × ¿| =
_____________.