Question

For which operations is the set {–1, 0, 1} closed?

Choose all answers that are correct.

A.
addition

B.
division

C.
multiplication

D.
subtraction

Answer 1

I got Addition and subtraction for this question!!!! A. D.

Answer 2

1+1 = 2 is not in the set
-1-1 = -2 is not in the set

Answer 3

1/0 is not in the set

Answer 4

Thats correct yes u r right

Answer 5

but by going up you need to use addition...

Answer 6

-1*-1 = 1
-1*0 = 0
-1*1=-1

1*1=1
1*0=0
1*-1=-1

0*0=0
0*1=0
0*-1=0

Answer 7

I don't understand what you mean. "by going up you need addition"

please explain

Answer 8

NVM could you go on with your explanation please

Answer 9

well I showed you that it is not closed with respect to addition, and subtraction, and division. I did this by giving you counter examples

Then I showed every possible case for multiplication, and in all cases we are still in the set.

Answer 10

its multiple questions My friend

Answer 11

jus so you know

Answer 12

I don't know what you mean....

Answer 13

so it definitely cant be Multipiclation cause its opened am i right??

Answer 14

Is the set closed with respect to addition
no

is the set closed with respect to subtraction
no

is the set closed with respect to division
no

is the set closed with respect to multiplication
yes

Answer 15

Im sorry to say this but you have to choose more than one question

Answer 16

A set \(S\) is closed with respect to an operation \(+\) provided that for all \(a,b\in S\) we have that \(a+b \in S\)

Answer 17

What are you talking about?

Answer 18

there is more than one answer...

Answer 19

you are right. there are 4

no no no yes

Answer 20

so there are three closed right or wrong just answer yes or no!

Answer 21

what part of yes or no do you not understand

Answer 22

wow dude listen I am helping you.

The way you ask a question is not a yes or no answer.

Answer 23

are you short or tall?

Answer 24

yes or no?

Answer 25

are there 3 closed yes or no

Answer 26

there is only one set to be closed

so when you say are they closed IT MAKES NO SENSE

Answer 27

again that does not make sense.

Answer 28

is the set closed with respect to 3 of the operations

Answer 29

that is what you are asking

Answer 30

the answer is no

Answer 31

okay thank you

Answer 32

Im sorry for being mean I'm just really tired

Answer 33

I understand

Answer 34

just listen for one second

Answer 35

k

Answer 36

if you take a set, and put an operation on it, then we call it closed if for any two elements in the set, if we apply the operation to it, the number we get in the end is also in the set

Answer 37

so with addition
1 is in the set
1 is in the set
but 1+1=2 is not in the set. So it is not closed

Answer 38

so whats the answer

Answer 39

but we do not call this open.

Answer 40

it says choose the answers that are correct.

the only one that is correct is D multiplication

Answer 41

err C multiplication

Answer 42

thats Impossible.... well I beleive u

Answer 43

why?

Answer 44

Can you help with more

Answer 45

just first tell me why its impossible. it is obvious that you don't understand something fundamental, and going on is not going to help

Answer 46

not trying to sound rude

Answer 47

I don't understand the stuff I am working on either...that's how we learn

Answer 48

well I took this assessment before I have 3 attempts the similar question to this was Multiple answers and Im pretty sure it wont change.

Answer 49

It also tells you that Choose *ALL* anwsers hat are correct

Answer 50

@zzr0ck3r were are u?!?

Answer 51

why do you assume more than one is correct?

Answer 52

I saw u answering billster's wuestion

Answer 53

question

Answer 54

again, if you understand what closed w.r.t. an operation is, then you would know I am right.

Answer 55

It says all closed not open and Multiplication is open

Answer 56

1+1=2 is NOT in the set and 1 is
-1 - 1 = -2 is NOT in the set and 1,-1 are
1/0 is NOT in the set, and 1, 0 are

then they are not closed

Answer 57

there is no open

Answer 58

either closed or not closed

Answer 59

Just say all the closed one's so I understand please!!!

Answer 60

D

Answer 61

for the 1000th time

Answer 62

ask anyone else here.

Answer 63

OKAY yeesh!

Answer 64

Which equations show that the set of whole numbers is not closed under subtraction?

Choose all answers that are correct.

A.
1 – (–2) = 3

B.
1 – 2 = –1

C.
2 – 0 = 2

D.
2 – 4 = –2

Answer 65

I see a bunch of little boxs

Answer 66

err not D on that last question C
multiplication

Answer 67

I keep thinking its D multiplication, but its C multiplication

Answer 68

Which equations show that the set of whole numbers is not closed under subtraction?

Choose all answers that are correct.

A.
1 – (–2) = 3

B.
1 – 2 = –1

C.
2 – 0 = 2

D.
2 – 4 = –2

Answer 69

refresh the page u should able to see it then!

Answer 70

yep

Answer 71

can u see now!

Answer 72

yes

Answer 73

ok what does it mean for a set to be closed?

Answer 74

could you help please!

Answer 75

I am. Answer my question

Answer 76

I have explained this many times...

Answer 77

If you can produce a number outside the set using the operation then it is the set is open under that operation. For example, integers are closed under addition because you can add any 2 integers together and ALWAYS get another integer.

Answer 78

There is one more condition we must worry about. That is that the operation was done on two elements in our set to begin with.

Answer 79

and its not called open, its called not closed.

Answer 80

So @CavebusterWatcher! why is the first one bad?

remember we must be applying the operation to elements in our set to get any meaningful result.

Answer 81

guyz could you help me I will tell you if u r correct or not!

Answer 82

I'll wait one more min for a reply that shows you gave thought and not trying to get the answer, but then I am gone.

Answer 83

I know I am correct. We are here to help you learn, this is not helping if we give you answers, you put it in the computer, then you tell us we are right. All you learned to do is tell me something I already know.

Answer 84

good luck. I would suggest trying to learn the material, the questions you are asking are very very easy.

Answer 85

good night

Answer 86

I have 5 question is this test its not much but you dont have to make this more complicated for me!!!!!!!!

Answer 87

Wow what great help !!

Answer 88

{NOT}

Answer 89

Ok, I'll try to explain it a bit differently.

Lets say I have a set of numbers {1,2,3,4,5,6,7}
I also have operations that I can use on any to numbers to produce a result. For example one operation could be multiplication. Multiplication takes two numbers as an input and outputs another number. If a set is close under an operation, then applying an operation to any members of the set ALWAYS produces something that is already in the set. If it produces something not in the original set, then the set cannot be closed under that operation.

Answer 90

My set is not closed under multiplication. Can you see how I can apply multiplication to 1,2,3,4,5,6,7 to produce a number that is not 1,2,34,5,6,7?

Answer 91

We are not here to take your test. Read the rules. And later think about how someone you don't know spent about an hour with you trying to get you to understand something. Then think about how you gave it no thought at all and just wanted me to give you the answers. Then think about how rude you are to people like myself and @uhhhhhh then think about the grade you are getting in the class. Then ask yourself if there is a correlation between all these things. Once you have done this, and are ready to give it the effort it is going to take, you may tag me and I will gladly help you. Until then, good luck.