Write the following as intervals : (i) `{x : x in R , 4 < xlt= 6}`(ii) `{x : x in R , 10 < x < 12}`(iii) `{x : x in R , 0lt= x < 7}` (iv) `{x : x in R , 3lt= x lt=4}`

Explanation

To convert the given set-builder notations into interval notation, we will follow a systematic approach for each part of the question.

### Solution Steps:

**(i)** For the set `{x : x in R, 4 < x ≤ 6}`:
1. Identify the boundaries: The lower boundary is 4 (not included) and the upper boundary is 6 (included).
2. Write the interval: Since 4 is not included, we use a parenthesis `(`, and since 6 is included, we use a bracket `[`.
3. The interval is: **(4, 6]**.
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