Mixing
problem solving with Venn diagrams
Clash Royale CLAN TAG#URR8PPP
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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
elementary-set-theory
edited Jul 17 at 1:20
Andrés E. Caicedo
63.2k7151236
asked Jul 16 at 21:27
BloodySandwich
154
add a comment |Â
up vote
0
down vote
favorite
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
elementary-set-theory
edited Jul 17 at 1:20
Andrés E. Caicedo
63.2k7151236
asked Jul 16 at 21:27
BloodySandwich
154
There's an error:: $O$ does not contain $0$. What you denote UOP is the intersection $Ucap Ocap P$. Note that both $O$ and $P$ are subsets of $U$.
– Bernard
Jul 16 at 21:41
Thank you for spoting the mistake.
– BloodySandwich
Jul 16 at 21:59
You could draw $U$ as a rectangle with $O$ and $P$ as intersecting circles inside it, if I understand what you are asking.
– saulspatz
Jul 16 at 22:20
Yes I know this, but those numbers suppose to be within intersection between O and P or rather on the boarders of those two sets. This is where I'm confuse. Sorry for not explaning well enough.
– BloodySandwich
Jul 16 at 22:43
add a comment |Â
up vote
0
down vote
favorite
up vote
0
down vote
favorite
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
elementary-set-theory
edited Jul 17 at 1:20
Andrés E. Caicedo
63.2k7151236
asked Jul 16 at 21:27
BloodySandwich
154
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
elementary-set-theory
edited Jul 17 at 1:20
Andrés E. Caicedo
63.2k7151236
asked Jul 16 at 21:27
BloodySandwich
154
edited Jul 17 at 1:20
Andrés E. Caicedo
63.2k7151236
edited Jul 17 at 1:20
Andrés E. Caicedo
63.2k7151236
edited Jul 17 at 1:20
Andrés E. Caicedo
63.2k7151236
63.2k7151236
asked Jul 16 at 21:27
BloodySandwich
154
asked Jul 16 at 21:27
BloodySandwich
154
asked Jul 16 at 21:27
BloodySandwich
154
154
There's an error:: $O$ does not contain $0$. What you denote UOP is the intersection $Ucap Ocap P$. Note that both $O$ and $P$ are subsets of $U$.
– Bernard
Jul 16 at 21:41
Thank you for spoting the mistake.
– BloodySandwich
Jul 16 at 21:59
You could draw $U$ as a rectangle with $O$ and $P$ as intersecting circles inside it, if I understand what you are asking.
– saulspatz
Jul 16 at 22:20
Yes I know this, but those numbers suppose to be within intersection between O and P or rather on the boarders of those two sets. This is where I'm confuse. Sorry for not explaning well enough.
– BloodySandwich
Jul 16 at 22:43
add a comment |Â
There's an error:: $O$ does not contain $0$. What you denote UOP is the intersection $Ucap Ocap P$. Note that both $O$ and $P$ are subsets of $U$.
– Bernard
Jul 16 at 21:41
Thank you for spoting the mistake.
– BloodySandwich
Jul 16 at 21:59
You could draw $U$ as a rectangle with $O$ and $P$ as intersecting circles inside it, if I understand what you are asking.
– saulspatz
Jul 16 at 22:20
Yes I know this, but those numbers suppose to be within intersection between O and P or rather on the boarders of those two sets. This is where I'm confuse. Sorry for not explaning well enough.
– BloodySandwich
Jul 16 at 22:43
There's an error:: $O$ does not contain $0$. What you denote UOP is the intersection $Ucap Ocap P$. Note that both $O$ and $P$ are subsets of $U$.
– Bernard
Jul 16 at 21:41
There's an error:: $O$ does not contain $0$. What you denote UOP is the intersection $Ucap Ocap P$. Note that both $O$ and $P$ are subsets of $U$.
– Bernard
Jul 16 at 21:41
Thank you for spoting the mistake.
– BloodySandwich
Jul 16 at 21:59
Thank you for spoting the mistake.
– BloodySandwich
Jul 16 at 21:59
You could draw $U$ as a rectangle with $O$ and $P$ as intersecting circles inside it, if I understand what you are asking.
– saulspatz
Jul 16 at 22:20
You could draw $U$ as a rectangle with $O$ and $P$ as intersecting circles inside it, if I understand what you are asking.
– saulspatz
Jul 16 at 22:20
Yes I know this, but those numbers suppose to be within intersection between O and P or rather on the boarders of those two sets. This is where I'm confuse. Sorry for not explaning well enough.
– BloodySandwich
Jul 16 at 22:43
Yes I know this, but those numbers suppose to be within intersection between O and P or rather on the boarders of those two sets. This is where I'm confuse. Sorry for not explaning well enough.
– BloodySandwich
Jul 16 at 22:43
add a comment |Â
1 Answer
1
active
oldest
votes
up vote
2
down vote
accepted
Here's what I would do. I hope it answers your question
answered Jul 16 at 23:10
saulspatz
10.7k21323
Thanks, I was having this answer but wasnt sure if it the correct one. Thanks
– BloodySandwich
Jul 16 at 23:15
add a comment |Â
1 Answer
1
active
oldest
votes
1 Answer
1
active
oldest
votes
active
oldest
votes
active
oldest
votes
up vote
2
down vote
accepted
Here's what I would do. I hope it answers your question
answered Jul 16 at 23:10
saulspatz
10.7k21323
Thanks, I was having this answer but wasnt sure if it the correct one. Thanks
– BloodySandwich
Jul 16 at 23:15
add a comment |Â
up vote
2
down vote
accepted
Here's what I would do. I hope it answers your question
answered Jul 16 at 23:10
saulspatz
10.7k21323
Thanks, I was having this answer but wasnt sure if it the correct one. Thanks
– BloodySandwich
Jul 16 at 23:15
add a comment |Â
up vote
2
down vote
accepted
up vote
2
down vote
accepted
Here's what I would do. I hope it answers your question
answered Jul 16 at 23:10
saulspatz
10.7k21323
Here's what I would do. I hope it answers your question
answered Jul 16 at 23:10
saulspatz
10.7k21323
answered Jul 16 at 23:10
saulspatz
10.7k21323
answered Jul 16 at 23:10
saulspatz
10.7k21323
answered Jul 16 at 23:10
saulspatz
10.7k21323
10.7k21323
Thanks, I was having this answer but wasnt sure if it the correct one. Thanks
– BloodySandwich
Jul 16 at 23:15
add a comment |Â
Thanks, I was having this answer but wasnt sure if it the correct one. Thanks
– BloodySandwich
Jul 16 at 23:15
Thanks, I was having this answer but wasnt sure if it the correct one. Thanks
– BloodySandwich
Jul 16 at 23:15
Thanks, I was having this answer but wasnt sure if it the correct one. Thanks
– BloodySandwich
Jul 16 at 23:15
add a comment |Â
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There's an error:: $O$ does not contain $0$. What you denote UOP is the intersection $Ucap Ocap P$. Note that both $O$ and $P$ are subsets of $U$.
– Bernard
Jul 16 at 21:41
Thank you for spoting the mistake.
– BloodySandwich
Jul 16 at 21:59
You could draw $U$ as a rectangle with $O$ and $P$ as intersecting circles inside it, if I understand what you are asking.
– saulspatz
Jul 16 at 22:20
Yes I know this, but those numbers suppose to be within intersection between O and P or rather on the boarders of those two sets. This is where I'm confuse. Sorry for not explaning well enough.
– BloodySandwich
Jul 16 at 22:43