Josef and Timothy play a game in which Josef picks an integer between 1 and 1000 inclusive and Timothy divides 1000 by that inte
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(treat
as one element of
)
The power set of is
1. is true because both
and
.
2. is true.
3. is true (same reason as part 1).
4. is false because
does not contain the set
, rather just the element
itself.
5. is false because the element
on its own simply is not in
. That
does not mean
, but that
belongs to a subset of
.
6. is true.