Question

Помогите тема Множество Найдите А ⋃ В ⋂ А \ В, если А = {-1; 0; 2; 4} В = [-2; 2]. С решением.

Answer 1

Відповідь:

А\В = -1,  0, 4 те, которие принадлежат А, но не принадлежат В

А∪В= -2, -1, 0, 2, 4

(А∪В)∩(А\В)= -1, 0, 4

Покрокове пояснення:

А\В  разница те елементи, которие принадлежат А, но не принадлежат В

Answer 2

Task: Find A ∪ B ∩ (A \ B), if A = {-1, 0, 2, 4} and B = [-2, 2].

To find the set A ∪ B ∩ (A \ B), we need to perform the following operations:

1. Find A ∩ B (the intersection of sets A and B). 2. Find A \ B (the set difference between A and B). 3. Find the union of A ∩ B and A \ B.

Let's go through each step:

Step 1: Find A ∩ B (the intersection of sets A and B). The intersection of two sets contains the elements that are common to both sets. In this case, A = {-1, 0, 2, 4} and B = [-2, 2]. The intersection of A and B is the set of elements that appear in both sets, which is {2}.

Step 2: Find A \ B (the set difference between A and B). The set difference between A and B contains the elements that are in A but not in B. In this case, A = {-1, 0, 2, 4} and B = [-2, 2]. The set difference A \ B is {-1, 0, 4}.

Step 3: Find the union of A ∩ B and A \ B. The union of two sets contains all the elements from both sets, without any duplicates. In this case, A ∩ B = {2} and A \ B = {-1, 0, 4}. The union of A ∩ B and A \ B is the set that contains all these elements, which is {-1, 0, 2, 4}.

Therefore, A ∪ B ∩ (A \ B) = {-1, 0, 2, 4}.

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