Find sets and C such that and are non-empty sets and .

MATHEMATICS · Subjective · CBSE · Mathematics · Sets · Sets

Problem

10. Find sets

\mathrm{A}, \mathrm{B}

and C such that

\mathrm{A} \cap \mathrm{B}, \mathrm{B} \cap \mathrm{C}

and

\mathrm{A} \cap \mathrm{C}

are non-empty sets and

\mathrm{A} \cap \mathrm{B} \cap \mathrm{C}=\phi