A={1,3,5,7,9}
B={2,4,6,8,10}
C={1,5,6,7,9}
A∩{B∪C}=?
is this an empty set?
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hartnn (hartnn):
could u find B∪C ?
OpenStudy (anonymous):
Wouldn't that be 1,2,4,5,6,7,8,9,10?
hartnn (hartnn):
yes, correct.
you know what ∩ mean ?
OpenStudy (anonymous):
I don't know the definition of it but I know what it is. Like take Set B and C for instance, you would get 6 because that is the number they have in common right?
hartnn (hartnn):
yes! exactly
∩ means common elements.
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hartnn (hartnn):
so, what is common in
1,2,4,5,6,7,8,9,10
and
1,3,5,7,9
OpenStudy (anonymous):
1,5,7,9
OpenStudy (anonymous):
is that correct?
hartnn (hartnn):
yes, that will be your A∩{B∪C}
OpenStudy (anonymous):
thanks.
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hartnn (hartnn):
welcome ^_^
OpenStudy (anonymous):
Do you mind helping me out with another similar problem?
hartnn (hartnn):
sure :)
hartnn (hartnn):
i meant i'll help... :P
OpenStudy (anonymous):
A={1,3,5,7,9}
B={2,4,6,8,10}
C={1,5,6,7,9}
A∩{B∩C} =?
for this one would it be 1,5,7,9?
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hartnn (hartnn):
B∩C=... ?
hartnn (hartnn):
common elements from B and C ?
OpenStudy (anonymous):
1,2,4,5,6,7,8,9,10 and then set A has 1,3,5,7 so A∩{B∩C}= 1,3,5,7 right?
hartnn (hartnn):
∩ means common elements
you took U
OpenStudy (anonymous):
oh 1,5,7,9 then?
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hartnn (hartnn):
B∩C common elements from B and C which is just {6} ok ?
OpenStudy (anonymous):
Okay.
hartnn (hartnn):
now A∩{6} =... ?
OpenStudy (anonymous):
1,5,6,7,9
hartnn (hartnn):
u again took U !
common elements in
1,3,5,7,9
and
6
are ?
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OpenStudy (anonymous):
Nothing which is an empty set..
hartnn (hartnn):
corect :)
hartnn (hartnn):
any doubts ?
OpenStudy (anonymous):
I have lots of doubts.
hartnn (hartnn):
i meant for that question..
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OpenStudy (anonymous):
I still have doubts about it.
hartnn (hartnn):
what ?
OpenStudy (anonymous):
Just that the answer "empty set" isn't an option on my paper.
OpenStudy (anonymous):
For that question.
hartnn (hartnn):
what are the options ?
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OpenStudy (anonymous):
{1,5,7,9}; {1,3,5,6,7,9}; {1,5,6,7,9}
hartnn (hartnn):
A∩{B∩C}
u sure asked its this?
OpenStudy (anonymous):
Yeah. It's fine actually. I'm just going to skip it.