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Home » Find sets A, B and C such that A ∩ B, B ∩ C and A ∩ C are non-empty sets and A ∩ B ∩ C = Φ.
Find sets A, B and C such that A ∩ B, B ∩ C and A ∩ C are non-empty sets and A ∩ B ∩ C = Φ.
CBSE | Class 11 | Maths | Miscellaneous Exercise | NCERT | Sets
Find sets A, B and C such that A ∩ B, B ∩ C and A ∩ C are non-empty sets and A ∩ B ∩ C = Φ.

Solution:

Let’s suppose, A\{0,1\}

B=\{1,2\}

And, C=\{2,0\}

As per the question,

A \cap B=\{1\}

B \cap C=\{2\}

And,

A \cap C=\{0\}

\therefore A \cap B, B \cap C and A \cap C are not empty sets

As a result, we have,

A \cap B \cap C=\Phi

i

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