MAT102H5 Chapter Notes - Chapter 2: Codomain, Natural Number
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MAT102H5 Full Course Notes
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Chapter 2: sets, functions, and the field axioms. A set, informally, is a collection of distinct objects, usually called the elements or mem- bers of the set. , 3, 2, 1, 0, 1, 2, 3, . : a, b 2 z, b 6= 0} We say a is a subset of b (a b) if all members of a are also members of b. Moreover, a is equal to b (or a = b) if they have the same elements. To prove equality of sets, we use the following equivalence: A = b if and only if a b and b a. We have special notation for intervals of real numbers: 94lb ) oexeb ) closed interval open interval. A = {(x, y) 2 n2 : x2 + y < 4} and b = {(1, 1), (1, 2)} are equal. 7 what we want to show suppose ix. yl c- a . 44124 satisfying so: ycanbel natural y -3.
