Given that $n(\, \xi \,)=42$, $n(A)=20$ and $n(B)=22$, find the greatest and least value

Question

Given that $n(\, \xi \,)=42$, $n(A)=20$ and $n(B)=22$, find the greatest and least value of $n(A \cap B)$, the greatest and least value of $n(A \cup B)$.

Accepted Answer

(i) greatest $20$, least $0$ (ii) greatest $42$, least $22$

Sets - Bounds on Set Cardinalities

Sets - Bounds on Set Cardinalities

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