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)

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) $\{3,6,14\}$
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Solution

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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 \(\boxed{\{1, 2, 3, 6, 9, 13, 14\}}\).

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