EECS 1019 Study Guide - Midterm Guide: Contraposition

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EECS 1019 Full Course Notes
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EECS 1019 Full Course Notes
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In the questions below determine whether the proposition is true or false: if 1 + 1 = 2 or 1 + 1 = 3, then 2 + 2 = 3 and 2 + 2 = 4. Ans: true: if 1 0, then 3 = 4. Ans: true: write the truth table for the proposition (r q) (p r). p q. F f f f: determine whether this proposition is a tautology: ((p q) q) p. Ans: yes. (a truth table should be presented with all t in the last column: p(0 0). In the questions below p(x y) means x + 2y = xy , where x and y are integers. Determine the truth value of the statement: x yp(x y). In the questions below suppose the variable x represents people, and. F(x): x is friendly t(x): x is tall a(x): x is angry. Ans: x(t(x) f(x)): all tall people are friendly, some people are not angry.

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