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Mathematics 51 Online
OpenStudy (chrismatias):

If A C B, then A∩B = B?

OpenStudy (chrismatias):

its common so the statement is true?

OpenStudy (welshfella):

sorry i got that diagram wrong!

OpenStudy (welshfella):

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OpenStudy (welshfella):

A is 'inside' B not B inside A.

OpenStudy (chrismatias):

so is it true or is the statement A ∩ B = ∅?

OpenStudy (welshfella):

so wwe want elements in BOTH A and B.

OpenStudy (welshfella):

Its neither B or the empty set

OpenStudy (chrismatias):

is it this one AB = B?

OpenStudy (welshfella):

No we want A∩B - - this contains elements common to BOTH A and B

OpenStudy (welshfella):

Look at the 2 dots in A - are they in B as well?

OpenStudy (welshfella):

Yes they are.

OpenStudy (chrismatias):

the dots aren't in B

OpenStudy (welshfella):

because A is a subset of B

OpenStudy (welshfella):

A subset is a set within a set

OpenStudy (chrismatias):

so is this answer A∩B = B correct?

OpenStudy (welshfella):

NO because there are elements in b WHICH ARE NOT IN a

OpenStudy (chrismatias):

so its zero?

OpenStudy (welshfella):

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