A = {1, 2, 4, 11, 12} B = {2, 4, 7, 8, 11} A intersection B = ______ The union o

Question

A = {1, 2, 4, 11, 12} B = {2, 4, 7, 8, 11} A intersection B = ______ The union of A and B is _____ A - B = ______ U = ______ True or False U - A = B True or False The complement of A is B. True or False An ordered pair of items is written (x, y). That's a mighty fine example of a two turple. True or False For two sets, A and B, the Cartesian product of A and B, denoted A times B, is the set of all ordered pairs in which the first entry is in A and the second entry is in B. True or False Regardless of whether #35 is true or not, the following is an accurate re-statement of #35: A times B = {(a, b): a A and b B} True or False Since the order of the elements in a pair is significant, A times B will not be the same as B times A, unless A = B. If A and B are finite sets, then |A times B| = _____ True or False A partition of a non-empty set A is a collection of non-empty subsets of A such that each element of A is in exactly one of the subsets. True or False If f is a function that maps a set X to a set Y, then f is a subset of X times Y. Furthermore, for every x X, there are exacts two y Y such that (x, y) f. True or False The set Y is called the domain of f, and the set X is the target of f. [4, 32] = ___ [-4, 32] = ____ True or False A function f: X rightarrow Y is one-to-one or injective if x1 notequalto x2 implies that f(x1) notequalto f(x2). That is, f maps different elements in X to different elements in Y. True or False A function f: X rightarrow Y is onto or surjective if the range of f is equal to the target Y. That is, for every y Y, there is an x X such that f(x) = y. True or False A function is bijective if it is both one-to-one and onto True or False If function f is a bisection, then the inverse of f is obtained by exchanging the first and second entries in each pair in f. The inverse of f is denoted by f^-1 True or False A function f has an inverse if and only if f is a bijection True or False Given functions f: X rightarrow Y and g: Y rightarrow Z, then the composition of g with f, denoted g f, is the function (g f) (x): X rightarrow Z, such that (g f)(x) = f(g(x)) True or False f g h = (f g) h = f (g h) because composition is commutative. True or False All functions are relations. Some relations are functions. True or False A relation can be represented by an arrow diagram just like a function. VERY short answer (12 words is too much). Describe the anti-transitive property of relations.

Explanation / Answer

27. A intersection B is{2,4,11}

28. AUB={1,2,4,7,8,11,12}

29. A-B={1,12}

30. U is the universal set which is AUB={1,2,4,7,8,11,12}

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