Venn diagram

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April 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
April 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
April 10th 2009, 07:30 AM
Soroban

Hello, Adina!

Quote:

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

Consider the complement of $S.$

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

$\text{So, }S\text{-complenent has the elements that are: }\:\begin{Bmatrix}\text{not in }A, \\<br /> \text{not in }B, \\<br /> \text{and in }C. \end{Bmatrix}$

This is the region that is in $C$ only.
. . Visualize that region.

Then $S$ is everthing but that region.

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