Question

Survey Question
I asked 12 people what their favorite energy drink was:
Either monster, redbull, both, or neither.
Sets and set Operations
The title of your Venn diagram is your universal set. Give your universal set a name and description.
Circle A is set A, and circle B is set B.

Answer 1

What is the Universal set U?

U= {set of people for energy drink survey}

U = {1,2,3,6},

Define A

A = {set of people who preferred redbull}

A= {1, 2}

Define B

B= {Set of people who preferred monster}

B = {1, 6}

Find AUB

A union B = {1,2,6}

Find A intersection B.

A intersection B = {1}

Find A' and B'

A'={Set of people who do not like redbull}

A'= {3, 6}

B'={set of people who do not like monster}

B'={2, 3}

Which word would you use to describe the value of v in the Venn diagram: subset, union, intersection, complement, or cross multiplication product? Explain your answer in complete sentences.
I would use the word union because set v is neither A or B, it is its own factor.

A' intersect B

Answer 2

Someone just tell me if im doing this right.

Answer 3

A' intersect B' {3}

Answer 4

i think these numbers are supposed to represent the number of people

Answer 5

that is the only way i can make sense out of this

Answer 6

so for example
1 person likes both

Answer 7

3 people like red bull and 7 people like monster

Answer 8

yes exactly

Answer 9

and 12 people were surveyed all together, 3 of whom did not like either

Answer 10

correct

Answer 11

ok so \(A\cup B\) is some unknown group of people
all you know is that the number of people in \(A\cup B\) is \(9\)

Answer 12

it makes no sense to write
\[A\cup B=\{1,2,6\}\] that is just a set of numbers

Answer 13

thats how my teacher wanted it written

Answer 14

instead you can write for example \(n(A\cup B)=9\)

Answer 15

meaning that the cardinality of \(A\cup B\) is 9, or more simply put there are 9 people in the set \(A\cup B\)

Answer 16

if you tell me your teacher wanted it written that way, i have to believe you
but either you are confused about the instructions, or your teachers is very very confused about sets vs the cardinality of sets

Answer 17

if you had say
joe liked both, jack and jill just liked red bull, then you could write
\[A=\{joe, jack, jill\}\]

Answer 18

but you cannot write
\[A=\{1,2\}\] that is just a set of two numbers
what i believe this means is that \(A\) contains three people , not the two numbers 1 and 2

Answer 19

unless of course you carried out this experiment yourself, or at least pretended you did
could that be right?

Answer 20

what do you mean i carried this out myself

Answer 21

i mean
were you given this venn diagram or
were you supposed to ask 12 people what drink they preferred etc

Answer 22

i actually asked 12 of my friends