Venn Diagram.

bergausstein

Active member
in the figure, the area of the interior of the rectangle represents set A, the triangle set B, the circle Set C, indicate the area represented by

a. $\displaystyle A\cup B$
b. $\displaystyle A\cap B$
c. $\displaystyle A\cap C$
d. $\displaystyle B\cup C$
e. $\displaystyle \left(A\cup B\right)\cap C'$
f. $\displaystyle \left(A\cup B\right)'\cap C$

I'm not sure if I drew the picture correctly because I'm using a black and white printed book.

any hints how to start the problem? thanks!

MarkFL

Staff member
First, I would ask you if you understand the definitions of union, intersection, and complement?

Once you understand the meanings of these operations, you should be able to shade in the appropriate areas for each statement.

So, can you give a brief definition of the above operations?

bergausstein

Active member
yes I understood it. here are my answers

please check if it is correct.

MarkFL

Staff member
I find that c) and e) are not quite correct. Can you spot the missing areas?

bergausstein

Active member
for c, and e. i hope this one is correct.