In the Venn diagram, $n(\xi) = 150$, $n(A) = 98$, $n(B) = 22$. Express $x$ in terms of $y$

Question

In the Venn diagram, $n(\xi) = 150$, $n(A) = 98$, $n(B) = 22$. Express $x$ in terms of $y$. Find the least possible value of $s$. Find the greatest possible value of $y$. Find the value of $z$ if $x = 80$.

Accepted Answer

(i) $x=98-y$ (ii) $30$ (iii) $22$ (iv) $y=18,\ z=4$

Sets - Cardinality and Inclusion-Exclusion for Sets

Sets - Cardinality and Inclusion-Exclusion for Sets

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