MATH 3600 Midterm: MATH 3600 Iowa Exam 1 Fall2018
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22m:55-midterm 1 -2006 x x 2 3, then x 2 or x 3, for x r. u 2, then u 0, for u r: a. You may use any axiom or proposition/theorem proven earlier, but you can neither use nor refer to theorem 7. 15(g) simply, it does not suffice to say this follows theorem 7. 15(g) . You are expected to provide a proof: given the statement. |xn |, for real numbers x1, x2, . Induction by assuming the well-ordering property of n, on the back of this page. Of course, you should state the theorem, also: true or false. Both of the following statements (i) and (ii) are true: i. x r, y r, z r x z y and ii. x r, y r, z r x z y . True false c. the set x p q. : p q q and p q 0 is an uncountable set, since it contains infinitely many irrational numbers.
