Please solve the below problem for me Use a Venn diagram to represent the following:

(A È B) È Cc

Thanks for your help well in advance - Adina

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- Apr 9th 2009, 07:32 PMadinaVenn diagram
Please solve the below problem for me Use a Venn diagram to represent the following:

(A È B) È Cc

Thanks for your help well in advance - Adina - Apr 9th 2009, 08:32 PMJhevon
- Apr 10th 2009, 07:30 AMSoroban
Hello, Adina!

Quote:

Use a Venn diagram to represent: .$\displaystyle S \;=\;A \cup B\cup C\:\!^c$

$\displaystyle S^c \;=\:(A \cup B \cup C^c)^c \;= \;A^c \cap B^c \cap C $ . . . by DeMorgan's Law

$\displaystyle \text{So, }S\text{-complenent has the elements that are: }\:\begin{Bmatrix}\text{not in }A, \\

\text{not in }B, \\

\text{and in }C. \end{Bmatrix}$

This is the region that is in $\displaystyle C$**only**.

. . Visualize that region.

Then $\displaystyle S$ is everthingthat region.*but*