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Consuelo Gutierrez Cruz

3 years

Mathematics

University

Practice Exercise No. 1A, Set Theory Part 1

Consuelo Gutierrez Cruz

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20 questions

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1. Multiple Choice
30 seconds
1 pt
A set is a well-defined collection of distinct objects. It is an unordered collection of objects.
True or False?
True
False
2. Multiple Choice
45 seconds
1 pt
{ x | x is a BSInfoTech Student}
This is an example of describing set in
Roster Form
Universal Form
Set Builder Notation
Name notation
3. Multiple Choice
1 minute
1 pt
What type of set is denoted as either { } or ∅?
Universal Set
Empty (or Null) Set
Disjointed Set
Complement of a Set
4. Multiple Choice
45 seconds
1 pt
Given: $A=\left\{x\left|x\ is\ a\ letter\ in\ the\ word\ KNOWLEDGE\ \right|\right\}$ What is n(A)
9
8
7
0
5. Multiple Choice
45 seconds
1 pt
Set Q contains the letters in the word SISTER .
Which of the following is set Q ?
Q = { S, T, R }
Q = { I, E }
Q = { S, I, S, T, E, R }
Q = { S, I, T, E, R }
6. Multiple Choice
45 seconds
1 pt
Which of the following sets is infinite?
Set W is a counting number less than 5.
Set A is a set of whole number between 10 and 15.
Set Y is a set of letters in the English alphabet after U.
Set S is a set or prime numbers.
7. Multiple Choice
30 seconds
1 pt
If A = {{1,2}, 3, 5, {6}}, then {6} ∈ A.
TRUE
FALSE
8. Multiple Choice
45 seconds
1 pt
True
False
9. Multiple Choice
45 seconds
1 pt
Which of the following sets determines $\left\{x\ |\ x\ is\ a\ real\ number\ such\ that\ x^2=1\right\}$
$\left\{\ \ \ \right\}$
$\left\{-1,\ 0,\ 1\right\}$
$\left\{-1,\ 1\right\}$
$\left\{1\right\}$
10. Multiple Choice
1 minute
1 pt
Given the set $\left\{x^2-1\ |\ \ x∈Z,-3≤x≤3\right\}\$
Which of the following is NOT an element of the set?

$8$
$3$
$0$
$2$
11. Multiple Choice
1 minute
1 pt
Given the set $\left\{1,\ 4,\ 9,\ 16,\ 25,\ 36,\ 49,\ 64\right\}$
Which of the following is description in set builder notation best describe the set?

$\left\{x^2│x\in Z,\ \ 1\le x\le8\right\}$
$\left\{1,\ 2,\ 3,\ 4,\ 5,\ 6,\ 7,\ 8\right\}$
$\left\{x^2│x\ is\ an\ integer\ less\ than\ 8\right\}$
$\left\{x│x\ is\ an\ integer\ less\ than\ 100\right\}$
12. Multiple Choice
1 minute
1 pt
Given the set $F=\left\{\frac{1}{\ m^2\ }\ │m∈Z^+,\ m\ is\ even\ and\ m<10\right\}$
What is the cardinality of $F$ ?

$n\left(F\right)=10$
$n\left(F\right)=5$
$n\left(F\right)=4$
$n\left(F\right)=9$
13. Multiple Choice
2 minutes
1 pt
Given the set $F=\left\{\frac{1}{\ m^2\ }\ │m∈Z^+,\ m\ is\ even\ and\ m<10\right\}$
How many elements does its power set contain?

$9$
$4$
$16$
$8$
14. Multiple Choice
2 minutes
1 pt
Given the set $F=\left\{\frac{1}{\ m^2\ }\ │m∈Z^+,\ m\ is\ even\ and\ m<10\right\}$
Which of the following are elements of its power set?

$∅$
$\left\{\frac{1}{\ 4\ },\ \frac{1}{\ 16\ },\ \frac{1}{36}\right\}$
$\left\{\frac{1}{\ 4\ },\frac{1}{\ 16\ },\ \frac{1}{\ 36\ },\ \frac{1}{\ 64\ }\right\}$
all of the choices
15. Multiple Choice
45 seconds
1 pt
Given the set $\left\{k,\ o,\ n,\ i\right\}\$ and $\left\{2,\ 4,\ 6,\ 8\right\}$
are disjoint and equal sets.

True or False?
True
False
16. Multiple Choice
45 seconds
1 pt
$\left\{x│x∈Z,\ 1<x<200\right\}$ is an infinite set.

True or False?
True
False
17. Multiple Choice
30 seconds
1 pt
Equal sets are always equivalent sets.

True or False?
True
False
18. Multiple Choice
30 seconds
1 pt
Equivalent sets are always equal sets.

True or False?
True
False
19. Multiple Choice
30 seconds
1 pt
$Z\ and\ R$ are joint sets.

True or False?
True
False
20. Multiple Choice
45 seconds
1 pt
$𝐒=\left\{𝒙│𝒙\ \ is\ the\ letter\ in\ the\ word\ "SUNLIGHT"\right\}$ $𝐓=\left\{𝒙│𝒙\ 𝐢𝐬\ 𝐭𝐡𝐞\ 𝐥𝐞𝐭𝐭𝐞𝐫\ 𝐢𝐧\ 𝐭𝐡𝐞\ 𝐰𝐨𝐫𝐝\ "HUSTLING"\right\}$
S and T are equal and equivalent sets.
True or False?
True
False
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