WILL MEDAL
For which operations is the set {–1, 0, 1} closed?
Choose all answers that are correct.
A.
addition
B.
division
C.
multiplication
D.
subtraction
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OpenStudy (anonymous):
A) what is \(1+1\)?
OpenStudy (anonymous):
2
OpenStudy (anonymous):
THX
OpenStudy (anonymous):
but there is more then one ansewr
OpenStudy (anonymous):
evidently it is not closed under addition
what about \(\frac{1}{0}\)
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OpenStudy (anonymous):
i don't get it can you make it alittle more clear?
OpenStudy (anonymous):
closed means if you perform the operation you get something that is still in the set
it is not closed under addition because 1 + 1 = 2 and 2 is not in your set
OpenStudy (anonymous):
it is not closed under division because \(\frac{1}{0}\) is not even a number let alone one of the three numbers in the set
OpenStudy (anonymous):
??? im still confused
OpenStudy (anonymous):
it is not closed under subtraction because \(-1-1=-2\) again not in the set
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OpenStudy (anonymous):
what is a set?
OpenStudy (anonymous):
@ryguy717
OpenStudy (anonymous):
oh
OpenStudy (anonymous):
thats disappointing
OpenStudy (anonymous):
ok i will
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OpenStudy (anonymous):
@princed
OpenStudy (anonymous):
@mathmath333
OpenStudy (anonymous):
@midhun.madhu1987
OpenStudy (anonymous):
ANYBODY
OpenStudy (anonymous):
i think its division
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OpenStudy (anonymous):
i guess
geerky42 (geerky42):
None. 1/0 = undefinied, which is not part of set {-1, 0, 1}
OpenStudy (anonymous):
thx any other guesses there is more then one anserws
OpenStudy (anonymous):
lol i can't spell XD
geerky42 (geerky42):
Addition won't works because 1+1 = 2. 2 is not part of set {-1, 0, 1}.
Subtraction; same reason; 1 - -1 = 2
Division. What I said.
So that left us multiplication.
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OpenStudy (anonymous):
so division and multiplication? @geerky42
geerky42 (geerky42):
Is 1/0 a part of set {-1, 0, 1}?
OpenStudy (anonymous):
idk
geerky42 (geerky42):
Do you see 1/0 in set {-1, 0, 1}?
OpenStudy (anonymous):
XD im not that smart
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OpenStudy (anonymous):
ummm
geerky42 (geerky42):
Ok, this set have three elements: -1, 0, and 1, right?
So is there 1/0 in this set?
OpenStudy (anonymous):
umm.... yes?
geerky42 (geerky42):
Really, where? All I see are -1, 0, and 1.
OpenStudy (anonymous):
oh then no. as i said, i'm not that smart
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geerky42 (geerky42):
Ok, since in division, you can divide 1 by 0, lead us to 1/0.
1/0 is not in {-1, 0, 1}, so this set is not closed under division.
So that left us multiplication.
Answer is multiplication, that's it.
OpenStudy (anonymous):
so not divison
geerky42 (geerky42):
No.
OpenStudy (anonymous):
no, as in yes there is or no as in yes there isn't?
geerky42 (geerky42):
No division.
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