Question

Given the diagram below, find . Write in correct set notation.

Answer 1

hi, are you still there?

Answer 2

Yes

Answer 3

are you trying to do the union of sets P and Q?

Answer 4

No just trying to find the correct notation?

Answer 5

I mean the set notation

Answer 6

well, P U Q={a,c,e,k,n,p,s}

Answer 7

the intersection of sets P and Q are the elements in the middle that the two sets have in common. The curly brackets would still indicate the set, but the elements would be a roster or list of the middle section. Is this helpful?

Answer 8

But what would be my answer?

Answer 9

looking at the above entries, it looks like you want \[P \cup Q\]

Answer 10

Yes

Answer 11

so, it is the set of elements in both circles together. see the first entry for which i wrote
P U Q={a,c,e,k,n,p,s}. this is proper notation for this particular set.

Answer 12

T.Y

Answer 13

do you have any other questions i can answer?

Answer 14

i assume this is satisfactory. i hope you have a lovely day. take care

Answer 15

I do have other questions

Answer 16

Given the following sets, select the statement below that is NOT true.
A = {l, a, t, e, r}, B = {l, a, t, e}, C = {t, a, l, e}, D = {e, a, t}, E = {t, e, a}

Answer 17

feel free to fire away. I will answer if it is within my scope of knowledge.

Answer 18

C ⊂ D
E ⊆ A
D ⊆ C
C ⊆ B
D ⊂ A

Answer 19

ok, do you know the meaning of a proper subset?

Answer 20

Nope

Answer 21

okeedokee. technically, any subset of a given set, including the set itself, is a subset. Does that make sense?

Answer 22

Understood

Answer 23

ok, that said, a proper subset is any subset that is not contain every element of the given set. Again, are you ok with this?

Answer 24

Yes

Answer 25

does*, not is

Answer 26

ok

Answer 27

The my ans is going to be D ⊂ A

Answer 28

ok. Is every element of set D an element of the set A?

Answer 29

Yes

Answer 30

sorry, was copying things down so i dont have to keep scrolling up and down.

Answer 31

O np

Answer 32

your answer is absolutely correct. Nicely done

Answer 33

I got more

Answer 34

T.Y

Answer 35

every element in D is an element of A where A is the bigger set

Answer 36

Oh alrighty

Answer 37

A car dealership interviewed every driver who came onto their lot on Tuesday. This produced the following results: there were 42 people who owned trucks and 87 people who owned cars. If 14 people owned both a truck and a car and 5 people owned neither, how many people were interviewed?

Answer 38

my pleasure. Any other questions i can help u with?

Answer 39

lol

Answer 40

A car dealership interviewed every driver who came onto their lot on Tuesday. This produced the following results: there were 42 people who owned trucks and 87 people who owned cars. If 14 people owned both a truck and a car and 5 people owned neither, how many people were interviewed?

Answer 41

looks like some tricksies here

Answer 42

Tell me about it

Answer 43

okeedokee. 42 people own trucks. Can you draw a circle for me?

Answer 44

nice. now draw an overlapping circle.

Answer 45

very nice. now what would the number be in the overlapping part, where the intersection of the two circles would represent the number of people who own a truck and a car

Answer 46

5

Answer 47

didnt 5 own neither?

Answer 48

we want how many owned both

Answer 49

Correct

Answer 50

14

Answer 51

excellent. that goes in the overlapping portion of the two circles. it is ok to draw it on paper

Answer 52

Got it

Answer 53

now call the left circle set C and the right circle set T

Answer 54

Ok

Answer 55

how many total members in set C?

Answer 56

these are the care owners.

Answer 57

87

Answer 58

nice. now, of those, how many also own trucks?

Answer 59

42

Answer 60

14

Answer 61

so, how many drivers just own cars?

Answer 62

87

Answer 63

well, 87 own cars, and of those, 14 own trucks. so, how many drivers own just cars. I know this gets confusing sometimes.

Answer 64

73

Answer 65

I just need to find out how many people were interviewed?

Answer 66

right. but we need to know which people share cars and trucks so we dont double count them

Answer 67

Got it Sir

Answer 68

lol

Answer 69

so now we have 73 people who own just cars and we have 42 who own trucks and 5 who owned neither. how many people were interviewed?

Answer 70

120

Answer 71

looks good to me. thanks for hanging in. I hope this helps.

Answer 72

I got more

Answer 73

:)) well, let's see whatchya got.

Answer 74

Im sorry lol

Answer 75

An electronics store surveyed every 6th customer who came into the store for a week.
Of the 320 people who responded,

124 people watched movies on VHS tapes.
228 people watched movies on DVDs.
47 people watched movies both on VHS tapes and DVDs.

Create a Venn diagram to reflect the above data, label your diagram clearly and submit to the Dropbox. Use your diagram to answer the following questions here.

i. Of those surveyed, how many watched only VHS tapes?
ii. Of those surveyed, how many watched only DVDs?
iii. Of those surveyed, how many watched VHS tapes or DVDs, but not both?
iv. Of those surveyed, how many watched VHS tapes or DVDs, or both?

Answer 76

124=VHS, 228=DVD's and 47 both. so let's look at i. how many watched just VHS tapes. Subtract the number who saw both from the number who watched VHS. tell me what you get and draw two overlapping circles for the Venn diagram. k?

Answer 77

I got 77

Answer 78

Soo 77 saw only vhs

Answer 79

right. now you re getting it. yes

Answer 80

how many saw just DVD's?

Answer 81

181

Answer 82

absolutely.

Answer 83

so, now your drawing.

Answer 84

iii. Of those surveyed, how many watched VHS tapes or DVDs, but not both?

Answer 85

how would you label your venn diagram?

Answer 86

That I don't kno lol

Answer 87

label the left circle VHS and the right circle DVD

Answer 88

Ok

Answer 89

what would you label the middle or intersection of the two circles?