ECON 3580 Study Guide - Midterm Guide: Contraposition

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MATH/EECS 1019 (Fall 2016)
Test 1
Instructions:
The exam is 80 minutes long
You cannot use books, notes, cell phones or any other materials
Please write your answers next to the questions and not on a separate sheet of
paper (you can use additional sheets for your own calculations)
In the questions below determine whether the proposition is TRUE or FALSE
1. 1 + 1 = 3 if and only if 2 + 2 = 3.
Ans: True
2. If 1 0, then 3 = 4.
Ans: True
3. If 1 + 1 = 2 or 1 + 1 = 3, then 2 + 2 = 3 and 2 + 2 = 4.
Ans: False
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Document Summary

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 r. Ans: true: 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(1 1). 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 a(x): all tall people are friendly, some people are not angry.

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