Find sets A, B and C such that A∩B,B∩C and A∩C are non-empty sets and A∩B∩C=ϕ

Let A={0,1},B={1,2}, and C={2,0}Accordingly, A∩B={1}B∩C={2}A∩C={0}.∴A∩B,B∩C, and A∩C are non-empty.However, A∩B∩C=ϕ

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Find sets A, B and C such that A B, B C and A C are non-emp

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Find sets A, B and C such that $A \cap B, B \cap C$ and $A \cap C$ are non-empty sets and $A \cap B \cap C = ϕ$

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Elizabeth Discussed

Find sets A, B and C such that

A \cap B, B \cap C

and

A \cap C

are non-empty sets and

A \cap B \cap C = ϕ

8 mins ago

Discuss this question LIVE

8 mins ago

Let

A = {0, 1}, B = {1, 2}

, and

C = {2, 0}

Accordingly,

A \cap B = {1}

B \cap C = {2}

A \cap C = {0}

∴ A \cap B, B \cap C

, and

A \cap C

are non-empty.
However,

A \cap B \cap C = ϕ

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Question Text	Find sets A, B and C such that $A \cap B, B \cap C$ and $A \cap C$ are non-empty sets and $A \cap B \cap C = ϕ$
Answer Type	Text solution:1
Upvotes	150