MAT137Y1 Lecture Notes - Lecture 1: Empty Set, Vacuous Truth
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MAT137Y1 Full Course Notes
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Due on friday, september 30, 2016 by 3pm: negate the following statement without using any negative words ( no , not , Every mat137 student who was born in a canadian province with a name that starts with a letter that comes alphabetically before l" obtains less than 75% on one of their term tests and more than 75% on another. Here is an example: f (x) = x sin(x) To show that properties (b) and (c) are true, consider, for n n, the values yn = (4n + 1) n = (4n + 3) and y . Being blue and being sad are not the same thing. For example, take the set a = [0, 1] and m = 1. Then the set a is sad because for every x a, x m . Solution: in this argument, the proof that [0, 1] is sad is correct, but the proof that [0, 1] is blue is wrong.