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1. (10 points.) Suppose that the set A is defined as follows. A = { a | real ( a ) 0 a 1 }
1. (10 points.) Suppose that the set A is defined as follows.
A = { a | real(a) 0 a 1 }
That is, A is the set of real numbers between 0 and 1, inclusive. Invent a way to represent the members of A using only sets and ordered pairs. You may use objects that were constructed from sets in the lectures, such as natural numbers. Your representation must work for real numbers with finitely many digits, such as 0.5, and for real numbers with infinitely many digits, such as 3.
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