Write the following sets in roster form and also in set builder form :
the set of letters in the word MUSSORIE

Answer

To solve the question, we need to write the set of letters in the word "MUSSOORIE" in both roster form and set builder form.

### Step 1: Identify the unique letters in the word "MUSSOORIE"
The first step is to list out all the letters in the word. The letters are:
- M
- U
- S
- S
- O
- O
- R
- I
- E

### Step 2: Remove duplicates
Next, we need to remove any duplicate letters since a set cannot contain repeated elements. From the letters listed, we have:
- M
- U
- S (only one S)
- O (only one O)
- R
- I
- E

So the unique letters are: M, U, S, O, R, I, E.

### Step 3: Write the set in roster form
In roster form, we list the elements of the set within curly braces. The set of unique letters can be written as:
\[ A = \{ M, U, S, O, R, I, E \} \]

### Step 4: Write the set in set builder form
In set builder form, we describe the set by stating the property that defines its elements. For this set, we can say:
\[ A = \{ x \mid x \text{ is a letter in the word "MUSSOORIE"} \} \]

### Final Answer
- Roster Form: \( A = \{ M, U, S, O, R, I, E \} \)
- Set Builder Form: \( A = \{ x \mid x \text{ is a letter in the word "MUSSOORIE"} \} \)