I need help with a venn diagram. Is anyone good at those?

- anonymous

I need help with a venn diagram. Is anyone good at those?

- jamiebookeater

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- anonymous

At an auto show, a care dealer asked the first 10 visitors their ages and the kinds of cars they own. The venn diagram shows the details.
|dw:1350207143022:dw|
Based on the diagram, which of the following represents the ages of car owners in the set
(N ∪ ~L) ∪(L ∩ M)
{29, 31, 64}
{29, 31, 45, 64,}
{29, 31, 38, 42, 45, 64}
{29, 31, 38, 42, 44, 45, 64}

- anonymous

@hartnn

- anonymous

N ∪ ~L
That would be all of N, with exclusion to L, correct?

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## More answers

- campbell_st

you need to label your circles, L, N, M

- anonymous

|dw:1350207517903:dw|

- anonymous

Based on the diagram, which of the following represents the ages of car owners in the set
(N ∪ ~L) ∪(L ∩ M)
{29, 31, 64}
{29, 31, 45, 64,}
{29, 31, 38, 42, 45, 64}
{29, 31, 38, 42, 44, 45, 64

- campbell_st

I think you diagrams are a little off... as there is a 38 in L and 38 in the intersection of M and N... |dw:1350207574575:dw|

- campbell_st

but anyway isn't the union of N and ~L the same as the union of N and M excluding 38, 44.

- anonymous

I don't know. That's why I asked you guys...

- anonymous

@Hero @hba :(

- anonymous

@sauravshakya ? ;-;

- anonymous

Hartnn to save the day ;-;
At an auto show, a care dealer asked the first 10 visitors their ages and the kinds of cars they own. The venn diagram shows the details.
|dw:1350210016776:dw|
Based on the diagram, which of the following represents the ages of car owners in the set
(N ∪ ~L) ∪(L ∩ M)
{29, 31, 64}
{29, 31, 45, 64,}
{29, 31, 38, 42, 45, 64}
{29, 31, 38, 42, 44, 45, 64}

- hartnn

i didn't properly understand the question, where is that 38 ?
can u plz post the screenshot of question?

- anonymous

I cannt post the screenshot question. I can't leave the tab. I have two computers.
The 38 is grouped with the 42.
Here, check this out. scroll down some: http://www.purplemath.com/modules/venndiag2.htm

- hartnn

what did u give that reference ?
(N ∪ ~L) = all numbers except 38
(L ∩ M) =45
and their union will be all numbers except 38, which does not seem to be an option :\

- anonymous

Oh, okay.
Can we go one step at a time, please c:
(N ∪ ~L) would be all the numbers of M and L, with exclusion to L? So just all numbers in M?

- anonymous

OH WAIT!
(N ∩ ~L) ∪(L ∩ M) <-----

- hartnn

~L = all number except those in L = {35,51,42,38,29,31,64}
got this ?

- hartnn

aahaaa!

- anonymous

(N ∩ ~L)
This will be what N and L have in common?

- hartnn

N and ~L in common

- hartnn

did u get ~L ?

- hartnn

~L = all number except those in L = {35,51,42,38,29,31,64}
got this ?

- anonymous

Yes,
so all numbers in common with N except L?

- hartnn

'so all numbers in common with N except L?' <--for what ?
ok, since u get ~L= {35,51,42,38,29,31,64},
we already have N = {38,42,29,64,31,44}
now just find common elements between these 2 sets to get (N ∩ ~L)

- hartnn

∩ = common elements = and

- anonymous

~L All numbers in the diagram except those in L
N = all in L
Now we just find the common elements, correct?

- hartnn

~L All numbers in the diagram except those in L<--\(\huge \color{red}{\checkmark}\)
N = all in L<---?? NO

- hartnn

N =all elements in circle N

- anonymous

Oh okay!
~L= {35,51,42,38,29,31,64},
N = {38,42,29,64,31,44}
{29, 31, 38, 42, 64}
Correct?

- hartnn

\(\huge \color{red}{\checkmark}\)

- anonymous

{29, 31, 38, 42, 64} ∪ (L ∩ M
Is that what we're left with?

- hartnn

(L ∩ M ) = common elements between L and M = ??

- anonymous

Ok. Give me a second. I have to go do something, I will be back in five minutes.
Will you be on?

- hartnn

yes

- anonymous

Yes

- hartnn

(L ∩ M ) = common elements between L and M = ??

- anonymous

{35, 38, 42, 45, 51}
{38, 44, 45}
{38, 45}
Correct?

- hartnn

consider those 2 38's as different elements

- hartnn

so it will be only 45

- anonymous

Wait. I don't get why they're different elements?

- hartnn

because they are on different circles.....and final answer will remain same whether u consider 38 or not...but appropiate will be to NOT consider

- anonymous

{29, 31, 38, 42, 64} ∪ {45}
Correct?

- hartnn

\(\huge \color{red}{\checkmark}\)
and that equals ?

- anonymous

Now this means we put the numbers together, and cancel like terms?

- hartnn

cancel ? not totally, keep exactly 1 instance
example {25,26,27}U{26,27,28}={25,26,27,28}

- anonymous

{29, 31, 38, 42, 64} ∪ {45}
{29, 41, 38, 42, 45, 64}
Correct?

- anonymous

{29, 31, 38, 42, 45, 64}

- hartnn

\(\huge \color{red}{\checkmark}\)

- anonymous

Thanks XD

- hartnn

Welcomes ^_^

- anonymous

How do you do the checkmark?

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