MATH 2390 Midterm: MATH 2390 Kennesaw State Exam3solutions
Document Summary
Math 2390 exam 3 solutions: f. ellermeyer. Remember that writing and correct use of notation are very important. Write in complete sentences: prove that if a, b, c, m, and n are integers with a 0 and a | b and a|c, then a | mb nc . Proof: suppose that a, b, c, m, and n are integers with a 0 and a | b and a|c. Since a|b, then there exists an integer p such that b pa. Since a|c, then there exists an integer q such that c qa. Thus mb nc m pa n qa a mp nq . Since mp nq is an integer, we see that a | mb nc : prove that if x is an integer such that 2 | x2 1 , then 4 | x2 1 . Proof: suppose that x is an integer such that 2 | x2 1 .
