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Sets — MATHS STD 11 Science — Question

Rajasthan BoardEnglish MediumSTD 11 ScienceMATHSSets2 Marks
Question
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 = \phi $ 
✓

Answer

Take A = {1, 2} B = {1, 4} and C = {2, 4}
Now $A \cap B = \{ 1\} \ne \phi$ 
$B \cap C = \{ 4\} \ne \phi$
$A \cap C = \{ 2\} \ne \phi$
But $A \cap B \cap C = \phi$

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