Use the Schroder-Bernstein theorem to show that (0, 1) and

Solution:Step_1: In this problem we need to show that (0,1) and [0,1]have the same cardinality by using the schroder-Bernstein theorem.Schroder-Bernstein theorem :If A and B are sets with and then A = B.The term cardinality refers to the number of members in a set.Cardinality can be finite or infinite. One -to-one function: A function for which every element of the range of the function corresponds to exactly one element of the domain. Test for one -to-one functions : If f(a) = f(b) implies that a = b , then f is one-to-one.Step-2:Given se