SOLUTION: Prove ((B union{x})-{x}) is a subset of B.
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Question 409468
:
Prove ((B union{x})-{x}) is a subset of B.
Answer by
solver91311(24713)
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If
then
and then
and then
contains all the elements of
except
. Then
is a proper subset of B, and is therefore a subset of B by definition of subset.
If
then
. But any set is a subset of itself by definition of subset, therefore
.
John
My calculator said it, I believe it, that settles it