Question
Suppose is a binary relation that can be applied to any two natural numbers (i.e. positive integers). Given any two , we say if is
Suppose is a binary relation that can be applied to any two natural numbers (i.e. positive integers). Given any two , we say if is wholly divisible by ? (i.e. without any remainder). For example, 8 ? 2 because 8 2 = 4, but 7 ¬? 3 because 7 3 = 2 1 3 . Hint: For any question below to which the answer is “no,” a single counterexample is all that is required as proof.
a. Is reflexive Explain your answer.
b. Is complete Explain your answer.
c. Is transitive Explain your answer.
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Vector Mechanics for Engineers Statics and Dynamics
Authors: Ferdinand Beer, E. Russell Johnston, Jr., Elliot Eisenberg, William Clausen, David Mazurek, Phillip Cornwell
8th Edition
73212229, 978-0073212227
