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OpenStudy (osanseviero):
True or false?
(a) ø = {0}
(b) x ∈ { x }
(c) ø = { ø }
(d) ø ∈ { ø }
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OpenStudy (zarkon):
what do you think :)
OpenStudy (osanseviero):
it is of the set theory, of a friend of 12th...but i am just starting learning the set theory.
OpenStudy (osanseviero):
the first symbols means that it is an empty set...but if there is a 0 inside the brackets, then it isnt an empty...but i am not sure
OpenStudy (zarkon):
correct...so the first one is false
OpenStudy (anonymous):
oh yes - thats the empty set right?
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OpenStudy (zarkon):
\[\emptyset=\{\}\]
OpenStudy (osanseviero):
There is a 0 inside...so it isnt an empty set?
OpenStudy (zarkon):
correct...it is the set that contains zero
OpenStudy (zarkon):
which is not the empty set
OpenStudy (osanseviero):
oh thanks...then B i know it is true...that is easy
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OpenStudy (zarkon):
correct
OpenStudy (osanseviero):
i really dont know how to answer c....it is confusing
OpenStudy (zarkon):
on the left is the empty set...a set that has nothing in it
on the right is a set that contains the empty set...so that set has something in it
OpenStudy (osanseviero):
oh...then it is false
OpenStudy (zarkon):
correct
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OpenStudy (osanseviero):
so d is true :)
OpenStudy (zarkon):
yes
OpenStudy (osanseviero):
thanks zarkon :)
OpenStudy (zarkon):
np
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