Question

Find five numbers such that Ix*yI=3 (where x and Y are elements of natural numbers sets.

Answer 1

x=1,y=3
five numbers?

Answer 2

five natural numbers*

Answer 3

yeaaaa... i got those

Answer 4

thats impossible to find 5 natural numbers

Answer 5

:(

Answer 6

that satisfy that

Answer 7

* means multiply right?

Answer 8

yes

Answer 9

for any natural number n>=1 define An as An={(x,y) e NxN: x*y=n.
explain why is symmetric
find 5 different numbers such that IAnI=3

Answer 10

interesting
maybe my interpretation of this is wrong let me see if i can find james

Answer 11

ok

Answer 12

coolsector do you have any input?

Answer 13

??

Answer 14

no i think the same

Answer 15

guess we dont really understand "(x,y) e NxN"

Answer 16

(x,y) is an element of the cartesian product N X N

Answer 17

but i still don't understand why they are asking for 5 natural numbers that satisfy
|x*y|=3

Answer 18

i don't see how this * could mean multiplication with 5 natural numbers out there to satisfy
|x*y|=3

Answer 19

yes it is not possible :

xy = 3 or xy = -3

x = y/3 x = -3/y

about x = -3/y there is no need to talk it is negative

x = y / 3
only 1,3

Answer 20

ok,,, i have
x=1,x=3
y=1, y=3
i need one more

Answer 21

oh no my answer is wrong,, because x and y cannot be equal the will be anti symmetric

Answer 22

:9

Answer 23

what happened?

Answer 24

Well actually there's quite a few ordered pairs.

All the integral solutions of

|xy| = 3 are

(x,y) = (1,3) or (1,-3) or (-1,3) or (-1,-3)
(3,1) or (-3,1) or (3,-1) or (-3,-1)

Answer 25

x and y are natural

Answer 26

ahh, sorry. I thought they were integers. Then no. There's only solution out of those eight:
(x,y) = (1,3) or (3,1)

Answer 27

:(

Answer 28

* so this couldn't be any other operation

Answer 29

you are like totally for sure it is meant to be multiplication?

Answer 30

ok,
and i think x and y cannot be the same because if (x,y)e N and (y,x)e N.. is called anti symmetric if x=y

Answer 31

yes ill take a picture wait

Answer 32

ok lol

Answer 33

i believe you

Answer 34

suppose this is a take home test,, but is like burn at home test

Answer 35

I wish my handwriting was as good as that :-(

Answer 36

oh wait a minute

Answer 37

No, no.

Answer 38

The exam is asking a completely different question.

Answer 39

yep

Answer 40

:o

Answer 41

|An| means the cardinality of the set An; i.e., the number of members of An.

Answer 42

we want to find n such that the cardinality of A_n is 3

Answer 43

what?

Answer 44

A_4={(1,4),(2,2),(4,1)}

Answer 45

thats one n=4

Answer 46

exactly.

But knowing now this is an exam I think it's unethical for you to ask and unethical for us to answer the question, but we can explain the question.

as myininaya is doing.

Answer 47

now we need 4 more

Answer 48

ohhhhh

Answer 49

ok james :(

Answer 50

he didnt even explain,,,

Answer 51

so i give you one example you can find some others right?

Answer 52

yeaa.. let me see...

Answer 53

:)... i know now what i can do

Answer 54

thanks u guys

Answer 55

lol maybe i shouldn't have said i believe you

Answer 56

jajajaj,, lol

Answer 57

i didnt believe myself ;)

Answer 58

ok good luck on your test

Answer 59

thanks