Let `A={x : x in R ,\ x >4}` and `\ B={x in R : x<5}` . Then `AnnB=` (a) `(4,5]` (b) `(4,5)` (c) `[4,5)` (d) `[4,5]`

Explanation

To find the intersection of the sets \( A \) and \( B \), we first need to define the sets based on the given conditions.

1. **Define Set A**:
- Set \( A = \{ x \in \mathbb{R} : x > 4 \} \)
- This means set \( A \) includes all real numbers that are greater than 4. In interval notation, this is represented as \( (4, \infty) \).

2. **Define Set B**:
- Set \( B = \{ x \in \mathbb{R} : x < 5 \} \)
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