The set of Rational Numbers is a [proper] subset of Real Numbers.
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Any collection or set (or subset) that does not contain 0. For example {3, pi, -37.6, sqrt(98), blue, dog, safuggff}
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.
A subset is smaller. A subset is made up of entries from the regular set, so it cannot be bigger, and it cannot be the same size, because that would just be the regular set again. Example: {2, 3, 5} is a subset of {2, 3, 4, 5, 6}
A is a subset of a set B if every element of A is also an element of B.
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.