Assume that set A is a subset of set B. If sets A and B are equal (they contain the same elements), then A is NOT a proper subset of B, otherwise, it is.
Equal sets are the sets that are exactly the same, element for element. A proper subset has some, but not all, of the same elements. An improper subset is an equal set.
The union of two sets, X and Y, consists of all elements that belong to X or Y or both.
the difference between a subset and a proper subset
Since ASCII ⊊ unicode, I don't know if there are ASCII codes for subset and proper subset. There are Unicode characters for subset and proper subset though: Subset: ⊂, ⊂, ⊂ Subset (or equal): ⊆, ⊆, ⊆ Proper subset: ⊊, ⊊,
Assume that set A is a subset of set B. If sets A and B are equal (they contain the same elements), then A is NOT a proper subset of B, otherwise, it is.
a is a subset of b
Equal sets are the sets that are exactly the same, element for element. A proper subset has some, but not all, of the same elements. An improper subset is an equal set.
The union of two sets, X and Y, consists of all elements that belong to X or Y or both.
Yes, but not a proper subset: they are the same set.
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.
The same in pigs but not goats
The eight (8) grouping symbols related to set theory include the following: ∈ "is an element (member) of" ∉ "is not an element (member) of" ⊂ "is a proper subset of" ⊆ "is a subset of" ⊄ "is not a subset of" ∅ the empty set; a set with no elements ∩ intersection ∪ union
the difference between a subset and a proper subset
Since ASCII ⊊ unicode, I don't know if there are ASCII codes for subset and proper subset. There are Unicode characters for subset and proper subset though: Subset: ⊂, ⊂, ⊂ Subset (or equal): ⊆, ⊆, ⊆ Proper subset: ⊊, ⊊,
Because every set is a subset of itself. A proper subset cannot, however, be 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}