Set Theory : Cardinal numbers

Study concepts, example questions & explanations for Set Theory

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Example Questions

Example Question #1 : Cardinal Numbers

Given the set , calculate the cardinality.

Possible Answers:

Correct answer:

Explanation:

Given a set , the cardinality is the number of elements in . This is also written as .

Looking at this particular problem, 

Therefore the number of elements in a is,

Example Question #2 : Cardinal Numbers

Given the set , calculate the cardinality.

Possible Answers:

Correct answer:

Explanation:

Given a set , the cardinality is the number of elements in . This is also written as .

Looking at this particular problem, 

First, rewrite the set to depict a more accurate description of the space.

Therefore, counting up the number of elements, results in the following cardinality,

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