# Math Help - Venn diagram

1. ## Venn diagram

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

(A È B) È Cc

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

(A È B) È Cc

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

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

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

Then $S$ is everthing but that region.