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 follow these steps for each interval:

### (i) Interval: `(3, 0)`

1. **Identify the type of interval**: The interval `(3, 0)` is an open interval, meaning it does not include the endpoints.
2. **Set up the set builder notation**: We express this as `{ x | x ∈ ℝ }`, where ℝ represents the set of all real numbers.
3. **Define the conditions**: Since `x` is greater than 3 and less than 0, we write this as:
- `x > 3` and `x < 0`
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