Which is a counterexample to the conjecture?
Any number that is divisible by 3 is divisible by 9.
A.
69
B.
18
C.
63
D.
27
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OpenStudy (anonymous):
@jane11509
OpenStudy (freckles):
let's consider some multiples of 3
and you can point to me if they are also divisible by 9 or not
and we are looking for an example of the not case
3(1)=3
3(2)=6
3(3)=9
3(4)=12
3(5)=15
3(6)=18
3(7)=21
this is just the first 7 positive multiples of 3
OpenStudy (freckles):
are all of these divisible by 9?
OpenStudy (freckles):
is 9 a factor of 3?
is 9 a factor of 6?
is 9 a factor of 9?
is 9 a factor of 12?
is 9 a factor of 15?
is 9 a factor of 18?
is 9 a factor of 21?
OpenStudy (anonymous):
answer
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OpenStudy (anonymous):
@freckles
OpenStudy (freckles):
yes I'm waiting on you to answer my question
OpenStudy (anonymous):
yes that is divisable
OpenStudy (freckles):
so you are saying the answer is yes to all of my questions?
OpenStudy (freckles):
9 is a factor of 3?
and so on...
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OpenStudy (anonymous):
18
OpenStudy (freckles):
I think you should go back over my questions
OpenStudy (freckles):
do you know what factor means?
OpenStudy (freckles):
if you are saying 9 is a factor of 3, then you are saying 9 times some integer=3.
OpenStudy (anonymous):
yes and I am asking for help
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OpenStudy (freckles):
so may I ask what you think that integer is?
OpenStudy (freckles):
9*what integer=3
OpenStudy (anonymous):
I forgot
OpenStudy (freckles):
what is an integer?
OpenStudy (anonymous):
yeah
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