Given that $n(\xi) = 75$, where $\xi$ is the universal set, $n(A) = 35$ and \(n(B) =

Question

Given that $n(\xi) = 75$, where $\xi$ is the universal set, $n(A) = 35$ and $n(B) = 20$, find the largest possible value of $n((A \cup B)')$ the largest possible value of $n(A' \cap B)$. Illustrate each of your answers on separate Venn diagrams.

Accepted Answer

(i) $\max n((A\cup B)')=40$. (ii) $\max n(A'\cap B)=20$.

Sets - Bounds on Set Cardinalities

Sets - Bounds on Set Cardinalities

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