Write the following statements in symbols :
the integers greater than `-5` and less than `-1`.

Answer

To write the statement "the integers greater than -5 and less than -1" in symbols, we can follow these steps:

### Step 1: Identify the range of integers
The integers we are looking for are those that are greater than -5 and less than -1.

### Step 2: List the integers in the range
The integers that fit this description are:
- -4
- -3
- -2

### Step 3: Write the inequalities
Now, we can express this in symbolic form. We can write:
-4 > -5 and -4 < -1
-3 > -5 and -3 < -1
-2 > -5 and -2 < -1

### Step 4: Combine the integers in a set notation
We can also represent the integers as a set:
{-4, -3, -2}

### Final Symbolic Representation
Thus, the symbolic representation of the statement is:
{-4, -3, -2} where each integer is greater than -5 and less than -1.

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