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honestrosewater
#15
Jun5-05, 03:19 PM
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P: 2,330
I think these examples should straighten things out. Have your definitions handy:
A set S is a subset of set T iff every member of S is also a member of T.
A set S is a proper subset of T iff S is a subset of T and there is some (at least one) member of T that isn't a member of S.

T = {{{}}}. Which of the following are subsets of T? Proper subsets?
A. {{{}}}
B. {{}}
C. {}

T = {{}, {{{}}}}. Which of the following are subsets of T? Proper subsets?
A. {{}, {{{}}}}
B. {{{{}}}}
C. {{{}}}
D. {{}}
E. {}