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Situation: Teacher Clarenda wanted to group here students into committees. She is grouping them according to the following axiom set:

Axiom 1: Each committee consist of exactly two members.
Axiom 2: There are exactly six committee.
Axiom 3: Each member serves on exactly two committee

Questions:
1. What are the undefined term in axiom set?
2. Let a dot represent a member, and a line represent a committee, make atleast one concrete model of the axiom set.
3. Deduce the theorem that " There is a finite number of members."​

Sagot :

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Answer:

Situation: Teacher Clarenda wanted to group here students into committees. She is grouping them according to the following axiom set:

Axiom 1: Each committee consist of exactly two members.

Axiom 2: There are exactly six committee.

Axiom 3: Each member serves on exactly two committee

Questions:

1. What are the undefined term in axiom set?

Answer: undefined terms: element , product of two elements axiom.

2. Let a dot represent a member, and a line represent a committee, make atleast one concrete model of the axiom set.

Answer: Consider the following axiom set.

Axiom 1. Every ant has at least two paths.

Axiom 2. Every path has at least two ants.

Axiom 3. There exists at least one ant.

3. Deduce the theorem that " There is a finite number of members."

Answer: Cantor's theorem implies that there are infinitely many infinite cardinal numbers , and that there is no largest cardinal number.

Step-by-step explanation:

Hope you trust me I'm grade 8 student too..

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