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Mathematics 20 Online
OpenStudy (anonymous):

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?

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.

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.

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?

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?

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 ?

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..

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 ?

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.

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