If X ={1,,3,5} , Y = {1,2,3} , then `XuuY` is :

Options

A. {1,2,4,5}
B. {1,2,3,5}
C. {1,3,5}
D. None of these.

Answer

To find the union of the sets \( X \) and \( Y \), we follow these steps:

### Step 1: Identify the elements of both sets
- Set \( X = \{1, 3, 5\} \)
- Set \( Y = \{1, 2, 3\} \)

### Step 2: Write down the elements of both sets
- Elements in \( X \): 1, 3, 5
- Elements in \( Y \): 1, 2, 3

### Step 3: Combine the elements from both sets
- The union of two sets includes all unique elements from both sets.

### Step 4: List the unique elements
- From \( X \): 1, 3, 5
- From \( Y \): 1, 2, 3
- Combine them: 1 (from both), 2 (from \( Y \)), 3 (from both), 5 (from \( X \))

### Step 5: Write the final union set
- The union set \( X \cup Y = \{1, 2, 3, 5\} \)

### Final Answer:
- \( X \cup Y = \{1, 2, 3, 5\} \)

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