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Venn Diagram.

bergausstein

Active member
Jul 30, 2013
191
in the figurevance 1.3.jpg, 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

Administrator
Staff member
Feb 24, 2012
13,775
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
Jul 30, 2013
191
yes I understood it. here are my answersvance 1.3.2.jpg

please check if it is correct.
 

MarkFL

Administrator
Staff member
Feb 24, 2012
13,775
I find that c) and e) are not quite correct. Can you spot the missing areas?
 

bergausstein

Active member
Jul 30, 2013
191
for c, and e. i hope this one is correct.:)vance 1.3.3.jpg
 

MarkFL

Administrator
Staff member
Feb 24, 2012
13,775
Yes, that looks good! (Sun)
 

bergausstein

Active member
Jul 30, 2013
191
thank you so much!:)(Clapping)