Question

Даны множества: A={xΙ x ∈ Ν, x ≤5}, B={xΙ x ∈ N, 1≤ x ∠ 7}, C={xΙ x ∈ N, x - четное число}. Найдите: а) A∪B; б) A∩B; в) A∩C; г) C∩B. ОЙ ребята напишите ответ так сложно пожалуйста прошу вас!!!!!!!!!!!!!

Answer 1

Запись $A=\{x \mid x \in \mathbb{N} , x \leqslant5\}$ означает, что $A$ - множество натуральных чисел, не больших $5$. Отсюда следует, что $A=\{1;2;3;4;5\}$.
Запись $B=\{x \mid x \in \mathbb{N} , 1 \leqslant x \ \textless \ 7\}$ означает, что $B$ - множество натуральных чисел, меньших $7$, но не меньших $1$. Значит, $B=\{1;2;3;4;5;6\}$.
Множество $C$ по условию - множество чётных натуральных чисел.

Объединением множеств $A$ и $B$ будет $A\cup B = \{1;2;3;4;5;6\}$. Их пересечением будет $A\cap B = \{1;2;3;4;5\}$.
$A\cap C=\{2,4\}$
$C\cap B=\{2;4;6\}$.

Answer 2

Task Analysis

To solve this problem, we need to find the union, intersection, and intersection of sets A, B, and C. Let's break down the problem step by step:

1. Find the union of sets A and B (A∪B). 2. Find the intersection of sets A and B (A∩B). 3. Find the intersection of sets A and C (A∩C). 4. Find the intersection of sets C and B (C∩B).

Let's solve each part one by one.

a) A∪B (Union of A and B)

Set A contains all natural numbers x such that x is less than or equal to 5. Set B contains all natural numbers x such that x is greater than or equal to 1 and less than or equal to 7.

To find the union of sets A and B (A∪B), we need to combine all the elements from both sets without repetition.

The union of sets A and B is {1, 2, 3, 4, 5, 6, 7}.

б) A∩B (Intersection of A and B)

Set A contains all natural numbers x such that x is less than or equal to 5. Set B contains all natural numbers x such that x is greater than or equal to 1 and less than or equal to 7.

To find the intersection of sets A and B (A∩B), we need to find the common elements in both sets.

The intersection of sets A and B is {1, 2, 3, 4, 5}.

в) A∩C (Intersection of A and C)

Set A contains all natural numbers x such that x is less than or equal to 5. Set C contains all natural numbers x such that x is an even number.

To find the intersection of sets A and C (A∩C), we need to find the common elements in both sets.

The intersection of sets A and C is {2, 4}.

г) C∩B (Intersection of C and B)

Set B contains all natural numbers x such that x is greater than or equal to 1 and less than or equal to 7. Set C contains all natural numbers x such that x is an even number.

To find the intersection of sets C and B (C∩B), we need to find the common elements in both sets.

The intersection of sets C and B is {2, 4, 6}.

I hope this helps! Let me know if you have any further questions.