(A U B) U Cc what will be its venn diagram?????
Hello, adnan1983!
$\displaystyle A \cup B \cup C\:\!'$
What will be its Venn diagram?
Let: .$\displaystyle S \;=\;A \cup B \cup C\:\!'$
Take the complement of both sides: .$\displaystyle S\:\!' \;=\;\bigg[A \cup B \cup C\:\!'\bigg]\:\!' $
. . DeMorgan's Law gives us: .$\displaystyle S\:\!' \;=\;A' \cap B\:\!' \cap C$
We have: .$\displaystyle S$-complement is the region not in $\displaystyle A$, not in $\displaystyle B$, and in $\displaystyle C.$
. . That is, that region which is in $\displaystyle C$ only. .(Visualize that region.)
Then $\displaystyle S$ is everything but that region.