📘 set theory

1. **State the problem:** We have 50 people in total. Among them, 27 know Chinese, 19 know English, and 13 know neither language. We need to find how many people know both Chinese

1. **State the problem:** We are given the number of kids interested in history, nature, and both subjects, and we need to find the total number of kids in the class. 2. **Identify

1. **State the problem:** We have a class of 32 kids. 20 kids go to painting class, 14 go to music class, and 6 kids go to both painting and music classes. We need to find how many

1. Pernyataan a: {2, 4} \subset {2, 4, 6} Sebuah himpunan A dikatakan sebagai subset dari himpunan B (A \subset B) jika setiap elemen A juga merupakan elemen B, dan A tidak sama de

1. The problem is to find the union of the set $R$ with itself, denoted as $R \cup R$. 2. The union of a set with itself means combining all elements from both sets without duplica

1. The problem asks to identify the set notation that matches the shaded area in a Venn diagram with three sets: P, Q, and R. 2. The shaded area covers the union of circles P and Q

1. **State the problem:** We are given three sets: - $A = \{1, 3, 4, 5, 6, 7\}$

1. Problem A: Set Theory operations and subsets 1.1 Find the subsets of $Q = \{2,4,6\}$.

1. **State the problem:** We have 71 guests and three flavors: Mirinda (M), Novida (N), and Fanta (F). We are given information about how many guests prefer combinations of these f

1. The problem asks to define the union of sets, provide software examples, and draw Venn diagrams. 2. Definition: The union of two sets $A$ and $B$, denoted by $A \cup B$, is the

1. The union of two sets $A$ and $B$, denoted by $A \cup B$, is the set containing all elements that are in $A$, or in $B$, or in both. 2. Formally, $$A \cup B = \{x : x \in A \tex

1. Define each of the following operations using a set of elements with software examples: 1. (a) Union: The union of two sets $A$ and $B$, denoted $A \cup B$, is the set containin

1. The problem is to write the elements of Group 1, which are the first five natural numbers: 1, 2, 3, 4, 5. 2. Group 1 is simply the set \{1, 2, 3, 4, 5\}.

1. The problem states that in a class of 40 students, 25 take Biology, 18 take Chemistry, and 8 take both subjects. 2. To represent this with a Venn diagram, we identify the sets:

1. The problem is to find the intersection of two sets, which means identifying the elements that are common to both sets. 2. Suppose we have two sets: $A = \{1, 2, 3, 4\}$ and $B

1. **State the problem:** We have 125 students. - 53 like Math.

1. **State the problem:** We have 125 students. - 53 like Math.

1. The problem asks for all three Venn diagrams from the previous or first question. 2. Since the previous question is not provided here, I will explain the three common types of V

1. **State the problem:** We have 125 students. - 53 like Math.

1. The problem is to understand and solve questions related to the operation of sets for class 11. 2. Question 1: If $A = \{1, 2, 3, 4\}$ and $B = \{3, 4, 5, 6\}$, find $A \cup B$

1. The problem is to describe a Venn diagram, which is a visual tool used to show relationships between different sets. 2. A Venn diagram typically consists of overlapping circles,