Set is a proper subset of if and . You write .
For example, is true, but is false because they are equal.
Proper subsets exclude the case where . This distinction matters in proofs and problem constraints.
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Subset but not equal
Set is a proper subset of if and . You write .
For example, is true, but is false because they are equal.
Proper subsets exclude the case where . This distinction matters in proofs and problem constraints.