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(3) (12pts) Prove or disprove: (a) There exists an injective function f : Z R (b) There exists a surjective function f : Z
(3) (12pts) Prove or disprove: (a) There exists an injective function f : Z R (b) There exists a surjective function f : Z R (4) (6pts) Mathematically describe the set of all (infinitely many) perfect squares. (5) (15pts) A set S = {1,2} is given, and our universe set is defined as U = 2, i.e., the power set of S. (a) What is U - S (same as U\S)? (b) What is S S? (c) What is UX {S}?
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3a There exists an injective function f ZR To prove this we can define a funct...
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Algebra Graduate Texts In Mathematics 73
Authors: Thomas W. Hungerford
8th Edition
978-0387905181, 0387905189
