I'm doing revision for Venn diagrams and sets. There is one exercise which I cant figure out how to place certain numbers which are shared between sets U, O and P in a Venn Diagram. This question involve using two circles (sorry If I dont name it correctly I'm just starting self-learning math as adult.)
This is question.
$U = \{ $Whole numbers from $0$ to $15\}$
$O = \{ $Odd numbers from $0$ to$ 15\}$
$P = \{ $Prime numbers between $0$ and $15\}$
Represents the sets on Venn Diagram.
$$U = { 0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15}$$
$$O = { 1,3,5,7,9,11,13,15}$$
$$P = { 2,3,5,7,11,13}$$
The shared numbers between sets U, O and P are:
$$UOP = { 3,5,7,11,13}$$
The numbers which are shared between sets U and O are:
$$UO = {0,1,9,15}$$
The numbers which are between sets U and P are:
$$UP = {2}$$
The numbers that are just in set U are :
$$U = { 4,6,8,10,12,14}$$
The problem I'm having is how to display UOP sets numbers on Venn Diagram. Thanks
Best Answer
Here's what I would do. I hope it answers your question