Write each of the following sets in Roster form:
C = set of all integers lying between -7 and 2.

Answer

To write the set C of all integers lying between -7 and 2 in roster form, we will follow these steps:

### Step 1: Identify the Range
We need to find all integers that lie between -7 and 2. This means we will include integers starting from -6 up to 1, since -7 and 2 are not included.

### Step 2: List the Integers
The integers between -7 and 2 are:
- Starting from -6 (the first integer greater than -7)
- Continue to -5, -4, -3, -2, -1, 0, 1 (the last integer less than 2)

### Step 3: Write in Roster Form
Now we can write these integers in roster form, which is a list of elements enclosed in curly braces.

Thus, the set C can be written as:
\[ C = \{-6, -5, -4, -3, -2, -1, 0, 1\} \]

### Final Answer
The final answer is:
\[ C = \{-6, -5, -4, -3, -2, -1, 0, 1\} \]

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