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Mathematics 17 Online
OpenStudy (anonymous):

write each set in roster form and in set-builder notation R is the set of even natural numbers that are less than 2

OpenStudy (zzr0ck3r):

there are no even natural numbers less than 2, unless you call 0 natural which most do not. so {} is the set builder notation

OpenStudy (zzr0ck3r):

roster \[\{n\in N\space| \space n<2\}\\r\\\{n|n<2,n\in N\}\]

OpenStudy (zzr0ck3r):

that should say or*

OpenStudy (zzr0ck3r):

@danielbarrios understand?

OpenStudy (anonymous):

0 is a natural number?

OpenStudy (anonymous):

or no

OpenStudy (zzr0ck3r):

no

OpenStudy (zzr0ck3r):

some argue that it is, but its not...

OpenStudy (zzr0ck3r):

so you are dealing with the empty set

OpenStudy (anonymous):

thanks

OpenStudy (zzr0ck3r):

np

OpenStudy (zzr0ck3r):

{n|n<2,n in N} is still empty, but now we can see why. If we just used {} we would not know why it is empty...this is one way of thinking about it.

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