Write whether every positive integer can be of the form `4q+2` where q is an integer, Justify your answer

Explanation

To determine whether every positive integer can be expressed in the form \(4q + 2\) where \(q\) is an integer, we can analyze the possible forms of integers when divided by 4.

### Step-by-Step Solution:

1. **Understanding the Form**:
The expression \(4q + 2\) represents a specific type of integer. Here, \(q\) is any integer (positive, negative, or zero). The term \(4q\) indicates that we are considering multiples of 4, and adding 2 means we are shifting these multiples up by 2.

2. **Identifying Possible Remainders**:
...