Question

Срочно : А множество остатков которые могут получиться при делении на пять а Б множество остатков которые возможно при делении на А) Задай множества а и Б перечислением и запиши элементы с помощью фигурных скобок Б) Построй диаграмму Эльвира Вена множеств А и Б какой из множества является подмножеством другого В) Найди А(_) Б, А(*) Срочно даю 15 БАЛЛОВ

Answer 1

Ответ:

Остаток всегда меньше делителя, поэтому:

A = {0, 1, 2, 3, 4};

B = {0, 1, 2, 3, 4, 5, 6}.

Решение б

Диаграмма Эйлера-Венна - нарисуй круг А лежащий полностью в круге В.

В круг А впиши числа 1,2,3,4. Допиши числа 5,6 в круге В, но вне круга А для наглядности.

A ⊂ B − множество A является подмножеством B.

Решение в

A ∩ B = {0, 1, 2, 3, 4};

A U B = {0, 1, 2, 3, 4, 5, 6}.

Пошаговое объяснение:

Answer 2

Task Explanation

You have asked for assistance with a set theory problem involving the division of sets A and B. The task involves defining sets A and B, creating a Venn diagram of the sets, identifying which set is a subset of the other, and finding the intersection and union of the sets.

Defining Sets A and B

To solve this problem, we need to define sets A and B based on the given criteria. Then, we will proceed with creating a Venn diagram, identifying the subset relationship, and finding the intersection and union of the sets.

Let's start by defining sets A and B.

Set A: The set of residues obtained when dividing by 5. - Set A = {0, 1, 2, 3, 4}

Set B: The set of residues that are possible when dividing by A. - Set B = {0, 1, 2, 3, 4}

Venn Diagram of Sets A and B

Now, let's create a Venn diagram to visualize the relationship between sets A and B.

     A: {0, 1, 2, 3, 4}
     B: {0, 1, 2, 3, 4}

Subset Relationship

In this case, both sets A and B are equal, and neither is a subset of the other. They have the same elements, so neither set is contained within the other.

Intersection and Union of Sets A and B

The intersection of sets A and B (A ∩ B) is the set of elements that are common to both sets. In this case, the intersection of sets A and B is the same as the sets themselves, as they are equal.

Intersection (A ∩ B): {0, 1, 2, 3, 4}

The union of sets A and B (A ∪ B) is the set of all elements that are in A, in B, or in both A and B.

Union (A ∪ B): {0, 1, 2, 3, 4}

Conclusion

In summary, sets A and B are equal, and neither is a subset of the other. The intersection and union of sets A and B are also the same, containing all the elements of the sets.

I hope this helps! If you have further questions or need additional assistance, feel free to ask.