Final answer:
The interval (3, 4) is a subset of [3, 4] but not a subset of (3, 4].
Step-by-step explanation:
The statement (3, 4) ⊂ [3, 4] is true. This means that the interval (3, 4) is a subset of the interval [3, 4].
The interval [3, 4] includes the endpoints 3 and 4, so any values between 3 and 4, including 3 and 4 themselves, are also included. Since the interval (3, 4) does not include the endpoints, it is a proper subset of [3, 4].
On the other hand, the statement (3, 4) ⊂ (3, 4] is false. This is because the interval (3, 4] includes the endpoint 4, but the interval (3, 4) does not. Therefore, (3, 4) is not a subset of (3, 4].