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
Hello, Adina!
Consider the complement of $\displaystyle S.$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 everthing but that region.