Write the following intervals in set builder form:(i) `(3,0)` (ii) `[6, 12]` (iii) `(6, 12]` (iv) `[ 23 , 5)`

Explanation

To convert the given intervals into set builder form, we will analyze each interval and express it accordingly.

### Step-by-step Solution:

**(i) Interval: (0, 3)**
This interval indicates that x can take any value between 0 and 3, but cannot equal 0 or 3. Therefore, we express this in set builder form as:
\[
\{ x \mid x \in \mathbb{R} \text{ and } 0 < x < 3 \}
...