Let A be the set {1,2,3,4}
B is {1,2} and B is a proper subset of A
C is {1} and C is also a proper subset of A.
B and C are proper subsets of the set A because they are strictly contained in A. necessarily excludes at least one member of A.
The set A is NOT a proper subset of itself.
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The set of Rational Numbers is a [proper] subset of Real Numbers.
NO- by definition a set is not a proper subset of itself . ( It is a subset, but not a proper one. )
The line, itself, is a subset (though not a proper subset). A ray is a subset of a line with one end-point which extends in only one direction. A line segment is a subset of a line with two end points. A point is a subset of a line.
The line, itself, is a subset (though not a proper subset). A ray is a subset of a line with one end-point which extends in only one direction. A line segment is a subset of a line with two end points. A point is a subset of a line. Finally, nothing is a subset (the null subset) of a line.
Any collection or set (or subset) that does not contain 0. For example {3, pi, -37.6, sqrt(98), blue, dog, safuggff}