Final answer:
The statement (0,5) is a subset of [0,5] is True because the open interval (0,5) is contained within the closed interval [0,5], omitting just the endpoints.
Step-by-step explanation:
The question asks whether the tuple (0,5) is a subset of the interval [0,5]. The notation (0,5) represents an open interval that includes all real numbers between 0 and 5, but not including the endpoints themselves.
In contrast, [0,5] represents a closed interval that includes all real numbers between 0 and 5, including the endpoints.
Because the endpoints 0 and 5 are not included in the open interval but are included in the closed interval, the statement (0,5) ⊂ [0,5] is True.