In the context of the Schröder-Bernstein theorem used to show that (0,1)⊆R and
[0,1]⊆R have the same cardinality, which of the following best describes the purpose of the theorem?
a) To prove that the interval (0,1) has the same cardinality as the closed interval [0,1]
b) To establish a one-to-one correspondence between the elements of (0,1) and [0,1]
c) To demonstrate that (0,1) and [0,1] have different cardinalities
d) To show that the intervals (0,1) and [0,1] are subsets of the real numbers with distinct properties
