Questions: Cho hai tập hợp (X) và (Y) :
[
X=1 ; 6 ; 2 ; 3 ; 14
Y=2 ; 9 ; 13 ; 1
text Tìm X cup Y
]
Hãy chọn 1 đáp án:
(A) (3,6,9,13)
(B) (1,2,3,6,9,13,14)
(C) (1,2)
(D) (3,6,14)
Transcript text: Cho hai tập hợp $X$ và $Y$ :
\[
\begin{array}{l}
X=\{1 ; 6 ; 2 ; 3 ; 14\} \\
Y=\{2 ; 9 ; 13 ; 1\} \\
\text { Tim } X \cup Y
\end{array}
\]
Hây chọn 1 đáp án:
(A) $\{3,6,9,13\}$
(B) $\{1,2,3,6,9,13,14\}$
(C) $\{1,2\}$
(D) $\{3,6,14\}$
Solution
Solution Steps
To find the union of two sets \(X\) and \(Y\), we combine all the unique elements from both sets. The union of sets \(X\) and \(Y\) will include every element that is in \(X\), in \(Y\), or in both.
Step 1: Define the Sets
We have two sets defined as follows:
\[
X = \{1, 6, 2, 3, 14\}
\]
\[
Y = \{2, 9, 13, 1\}
\]
Step 2: Calculate the Union
To find the union of sets \(X\) and \(Y\), we combine all unique elements from both sets. The union is represented as:
\[
X \cup Y = \{1, 2, 3, 6, 9, 13, 14\}
\]
Step 3: Present the Result
The resulting set from the union of \(X\) and \(Y\) is:
\[
\{1, 2, 3, 6, 9, 13, 14\}
\]
Final Answer
The answer is \(\boxed{\{1, 2, 3, 6, 9, 13, 14\}}\).