Question

U={1,2,3,4,5,6,7,8}, X={2,5,7,8}, Y={1,2,3,4,6}, Z={1,5,6,8}. Выполнить действия X V(Y \ Z).

Answer 1

Х\/(У\Z)={2,3,4,5,7,8}

Answer 2

Ответ:

Пошаговое объяснение:

Y \ Z - разность множеств. Т.е. все элементы Y без элементов Z

Y\Z = {2,3,4}

$X \lor (Y\backslash Z)$ - объединение. Т.е. добавляем элементы

$X \lor (Y\backslash Z)$ = {2,3,4,5,7,8}

Answer 3

To perform the operation $X \cup (Y \setminus Z)$, we first need to understand the set operations involved:

1. $X$ is the set {2, 5, 7, 8}.
2. $Y$ is the set {1, 2, 3, 4, 6}.
3. $Z$ is the set {1, 5, 6, 8}.

Now, let's break down the steps for this set operation:

1. $Y \setminus Z$: This means we need to find the elements that are in set $Y$ but not in set $Z$. So we remove any common elements between $Y$ and $Z$ from $Y$. $Y \setminus Z = \{2, 3, 4, 6\}$ (Since 1 and 5 are present in $Z$, we remove them from $Y$).

2. $X \cup (Y \setminus Z)$: Now, we take the union of set $X$ and the result obtained from $Y \setminus Z$. This operation combines all unique elements from both sets. $X \cup (Y \setminus Z) = \{2, 5, 7, 8\} \cup \{2, 3, 4, 6\} = \{2, 5, 7, 8, 3, 4, 6\}$.

So the final result of the set operation $X \cup (Y \setminus Z)$ is $\{2, 5, 7, 8, 3, 4, 6\}$.