Question

Тене ОсталосьДаны множества.A={10, 20,30,40,50}B = {15, 25, 35, 45, 55).C= {10, 15, 20, 25, 30, 35, 40, 45, 50, 55)Какое множество является подмножествомдругого множества? Изобрази при помощидиаграммы Эйлера-Венна, запиши элементымножества в диаграмму.​ Смотреть ответ Участник Знаний Участник Знаний Пошаговое объяснение:1) А и В оба являются подмножествами С2) диаграмма В.: большой круг С, внутри два малых А и В непересекающихся, внутри А 10, 20..., В 15, 25...

Answer 1

I can help you with your question.

You have given three sets: A = {10, 20, 30, 40, 50}, B = {15, 25, 35, 45, 55}, and C = {10, 15, 20, 25, 30, 35, 40, 45, 50, 55}. You want to know which set is a subset of another set, and how to represent them using a Venn diagram.

A subset of a set is a set that contains only elements that belong to the original set. For example, if X = {1, 2, 3} and Y = {1, 2}, then Y is a subset of X, because every element of Y is also an element of X. We write this as Y ⊆ X.

Using this definition, we can see that both A and B are subsets of C, because every element of A and B is also an element of C. We write this as A ⊆ C and B ⊆ C. However, A and B are not subsets of each other, because they have different elements. We write this as A ⊈ B and B ⊈ A.

A Venn diagram is a graphical way of showing the relationships between sets. It uses circles to represent sets, and the regions inside and outside the circles to represent the elements of the sets. To draw a Venn diagram for A, B, and C, we can follow these steps:

- Draw a large rectangle to represent the universal set, which contains all the elements we are considering. In this case, the universal set is C, so we write C inside the rectangle. - Draw a circle inside the rectangle to represent A. Write A inside the circle, and write the elements of A inside the circle: 10, 20, 30, 40, 50. - Draw another circle inside the rectangle to represent B. Write B inside the circle, and write the elements of B inside the circle: 15, 25, 35, 45, 55. Make sure the circles do not overlap, because A and B have no common elements. - The Venn diagram is complete. You can see that A and B are both inside C, but they are separate from each other.

Here is an example of how the Venn diagram looks like:

![Venn diagram]

I hope this helps you understand the concept of subsets and Venn diagrams. If you have any more questions, feel free to ask me.