Write the following sets in roster form :
the set of all consonants in the word 'MATHEMATICS'

Answer

To write the set of all consonants in the word 'MATHEMATICS' in roster form, we will follow these steps:

### Step 1: Identify the consonants in the word 'MATHEMATICS'.
The word 'MATHEMATICS' consists of the following letters:
- M
- A
- T
- H
- E
- M
- A
- T
- I
- C
- S

### Step 2: List the consonants from the identified letters.
The consonants in the English alphabet are: B, C, D, F, G, H, J, K, L, M, N, P, Q, R, S, T, V, W, X, Y, Z.
From the letters in 'MATHEMATICS', the consonants are:
- M
- T
- H
- M (already counted)
- T (already counted)
- C
- S

### Step 3: Remove duplicates from the list of consonants.
Now, we will remove any duplicates from our list:
- M (1)
- T (1)
- H
- C
- S

### Step 4: Write the final set in roster form.
The final set of consonants in roster form is:
{ M, T, H, C, S }

### Final Answer:
The set of all consonants in the word 'MATHEMATICS' in roster form is:
{ M, T, H, C, S }

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