MAD 2104 Midterm: MAD 2104 FIU Exam 315k

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15 Feb 2019
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The questions are worth 10 points each, unless labeled. As usual, a large part of: [5 points each] let a = {0, 1, 2}. If any part of this problem is impossible, explain why: give an example of a relation r on a, that is symmetric but not transitive. {a, b, c, d, f } with the graph below. It has 4 edges (the dashes), from a to b, b to c, etc. It is ok that he omitted the loops and arrowheads, since those are understood". But he drew one edge in the wrong place. Which missing edge would you insert ? a b c d f. 4b) after you have corrected his graph, nd the equivalence class [c]: [20 points] answer true or false: If s is nite, no function f : p (s) s can be 1-1. r(7, 2) = 7. The relation r on the integers de ned by a < b is a partial order.

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