# Venn diagram

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• Apr 9th 2009, 07:32 PM
adina
Venn 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 PM
Jhevon
Quote:

Originally Posted by adina
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

please fix your symbols so we know what you're talking about
• Apr 10th 2009, 07:30 AM
Soroban
Hello, Adina!

Quote:

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

$\displaystyle S^c \;=\:(A \cup B \cup C^c)^c \;= \;A^c \cap B^c \cap C$ . . . 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 everthing but that region.