Subset, true subset and cohort? 40

The collection understands okay! However, there seems to be no such thing as the same set for the equality of two sets. If the elements of two collections are the same, then the two collections are equal.

Regarding 4(1), the relation between two sets is a true subset relation, which is a true subset relation; Two sets that are equal are two sets that are equal.

If the two sets are true subsets, and they are two equal sets, then the two sets are equal.

Regarding the question of 5, the two sets are equal.

There are problems with the relationship between sets in the exam, but there are not many problems with the equality relationship between two sets. The exam pays attention to the empty set, which is a subset of any set and a true subset of any non-empty set.

1234 No problem, 5: In this case, the subset and the same set are correct, and the exam depends on how your teacher asks for it, and the official exam generally does not have such ambiguous questions.

6: "A is a subset of b" has two cases: "a is a true subset of b" and "a and b are the same set", just as "x is a non-negative number" has two cases: "x is a positive number" and "x is 0", so the definition of "subset" is meaningful.

A subset is not the same as a true subset.

If set b is a subset of set a, then set b is not necessarily a true subset of set a, but conversely, if set b is a true subset of set a, then set b must be a subset of set a.

Set A {1,2,3} then its subset has {1},{2},{3},{1,2},{1,3},{2,3},{1,2,3}, empty set, except for {1,2,3}, the other sets are also true subsets of set a, that is, a set composed of some elements in set a, but do not want to wait with set a, then such a set is a true subset of set a.

There is a difference between a true subset and a subset:

1.The meaning is different: a true subset means that if set A is a subset of set B, and at least one element in set B is not part of A, then set A is a true subset of set B.

A subset is a mathematical concept that refers to the set of parts of a set, also known as a partial set. If A and B are both sets, and all elements in A are elements in B, then A is a subset of B or A is included in B.

2.The nature is not the same: subset.

1) A subset is a mathematical concept that refers to the set of a part of a set, also known as a partial set. If A and B are both sets, and all elements in A are elements in B, then A is a subset of B or A is included in B.

2) For empty sets, we stipulate a, i.e., the naïve pico-empty set is a subset of any set.

Proper subset; For sets a and b, where x a has x b, then ab. It can be seen that any set a is a subset of itself, and the empty set is a subset of any set.

Subsets and true subsets.

In fact, they are all mathematical concepts in mathematics.

When there are two sets, which are set A and set B, if we can find the elements in set B that correspond to it one by one, then we can say that set A is a subset of set B; If there is a subset relationship between two sets, it is usually represented by symbols (or hall rocks), the former meaning "contained", and the latter meaning "contained". If set a is a subset of set b, then we write (a b) or (b a), and we know that set a is a subset of set b.

In short, the difference between a subset and a true subset is that the elements in the large set corresponding to the subset can not only correspond to the elements in the subset, exactly the same, but also have extra elements that are not in the subset, and there must be elements in the large set corresponding to the true subset.

The differences between a true subset and a subset are:

1. The definitions are different.

A subset is a collection of elements that include themselves; A true subset is a collection of elements other than the regression element itself.

2. The scope is different.

Subset: The range of set a is greater than or equal to set b, and b is a subset of a. True subset: The range of set A is greater than that of set B, and B is a true subset of A.

3. The elements are different.

A subset is an element in a set, all of which are elements in another set, potentially equal to another set. The true subset is the elements in one set, and all the elements in the other set are noisy, but there is no equality.

Solution: Let the pure set a be {1,2,3}, the set of limbs and b be {1,2, and the trouser macro 3,4}, and any one element in set a is an element of set b, then set a is said to be a subset of set b, for example, there is 1 in set a, and there is also set b. A true subset is an element in set b that is not in set a, for example, 4 belongs to b, and 4 does not belong to a, then set a is said to be a true subset of set b.

There are two cases of subsets, either the two sets are equal, or one set is a true subset of the other.

Example: Set a= Set b= Set c=

We say that set B is a subset of set A, and set C is a true subset of set A.

Of course, we can also say that set A is a subset of Set B.

The subset, that is, the concept that is less than the trapped rent and equal to the same, contains or equals; A true subset, which is the concept of pure less, is contained, and there is no equality.

This is a concept related to collections.

Generally, we use uppercase subtitles to represent collections, such as a, b, etc., and lowercase letters to represent elements, such as a, b, etc.

Of course, the collection itself can also be an element of another collection.

If all elements in set A are closed, they are called elements in set BSet a is a subset of b, the symbol isa⊆ borb⊇a, read asA contains a file split over Borb contains a。Namely:A A has a b, then a b

According to the definition of the subset, we know a a. That is to say,Any one set is a subset of itself

For empty sets, we prescribe a, ieAn empty set is a subset of any collection

Proper subset; If set a is a subset of b, and a ≠ b, that isAt least one element in b does not belong to a, then a is the true branch of b, which can be recorded as:a⊊b

As in the Venn diagram above, set A is the true subset of set B.