Elementary mathematics, Exams of Elementary Mathematics

Computational mathematics, 2024, year module

Typology: Exams

2023/2024

Available from 11/27/2024

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Set Theory Revision 2
2.1
Given the following set:
๐€ = {๐š, ๐ž, ๐ข, ๐จ, ๐ฎ}.
State whether the following statements are true or false:
Statement
True
False
{๐’–, ๐’, ๐’Š, ๐’†, ๐’‚}โІ ๐‘จ
{๐’–, ๐’, ๐’Š, ๐’†, ๐’‚}โŠ‚ ๐‘จ
{} โŠƒ ๐‘จ
{} โІ ๐‘จ
2.2
Given set
๐‘ช = {๐‘ณ๐’Š๐’๐’, ๐‘ป๐’Š๐’ˆ๐’†๐’“, ๐‘ณ๐’†๐’๐’‘๐’‚๐’“๐’…}. Answer the following question
about the subsets of C.
Answer
2.2.1
(1)
2.2.2
(1)
2.2.3
(1)
2.2.4
(1)
(4)
2.3
Given set ๐ด = {2,3,4}. Answer the following question about the subsets
of set A.
Answer
2.3.1
(1)
2.3.2
(1)
2.3.3
(1)
2.3.4
(1)
(4)
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Set Theory Revision 2

Given the following set:

State whether the following statements are true or false:

Statement True False

Given set ๐‘ช = {๐‘ณ๐’Š๐’๐’, ๐‘ป๐’Š๐’ˆ๐’†๐’“, ๐‘ณ๐’†๐’๐’‘๐’‚๐’“๐’…}. Answer the following question

about the subsets of C.

Question Answer

2.2.1 How many subsets of set C have zero

elements (Empty subsets of set C)?

2.2.2 How many subsets of set C have one

element (Singleton subsets of set C)?

2.2.3 How many subsets of set C have two

elements?

2.2.4 How many subsets of set C have three

elements?

Given set ๐ด = { 2 , 3 , 4 }. Answer the following question about the subsets

of set A.

Question Answer

2.3.1 How many subsets of set C have zero

elements (Empty subsets of set A)?

2.3.2 How many subsets of set C have one

element (Singleton subsets of set A)?

2.3.3 How many subsets of set A have two

elements?

2.3.4 How many subsets of set A have three

elements?

Given set ๐‘ช =

. State whether the following

statements are true or false:

Question True False

Given set ๐‘จ = {๐’‘, ๐’”, ๐’“}.

Answer the following questions about the subsets of set A.

Question Answer

2.5.1 How many subsets of set A are

there?

2.5.2 How many subsets of set A would

have at least 2 elements?

2.5.3 How many subsets of set A would

have at most 2 elements?