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Mathematics 17 Online
OpenStudy (camerondoherty):

Can someone explain this to me please?

OpenStudy (camerondoherty):

If T = {integers} and subset W = {positive integers}, what is W'? {1, 2, 3, ...} {..., -3, -2, -1, 0} {-3, -2, -1, 0} { }

geerky42 (geerky42):

\(T = W\cup W'\)

geerky42 (geerky42):

In other word, W' is subset of T that contains only ALL elements of T that W doesn't have.

geerky42 (geerky42):

Does that make sense? @camerondoherty

OpenStudy (camerondoherty):

Hmmm Not really...

geerky42 (geerky42):

Another example: Saying \(A = \{1, 2, 3, 4, 5\}\) and \(B \in A, ~B=\{1\}\). So \(B' = \{2, 3, 4, 5\}\) B and B' is both subset of A. B have what B' doesn't. And B' have what B doesn't. B and B' together have all elements A contains. Does that help?

geerky42 (geerky42):

Like, B have any elements from A, then B' takes what's remaining.

OpenStudy (camerondoherty):

Yea it does Thank You! c:

geerky42 (geerky42):

Yeah, so do you know what W' is?

OpenStudy (camerondoherty):

Well, Subset W are positive integers... And Subset W doesnt have negative integers... So i'd say it was B...

geerky42 (geerky42):

Right, W doesn't have negative integers and 0, so W' "takes over"

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