Mathematics > STUDY GUIDE > Math Assignment 6 Question and Answers, VERIFIED (All)

Math Assignment 6 Question and Answers, VERIFIED

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Match the sets in the right column to the sets in the left column by clicking and dragging them {x | x is a real number such that x² = 1} {1,-1} {x | x is a positive integer less than 12} {1, 2, ... 3, 4, 5, 6, 7, 8, 9, 10, 11} {x | x is the square of an integer and x < 100} {0, 1, 4, 9, 16, 25, 36, 49, 64, 81} {x | x is an integer such that x² = 2} Ø Use set builder notation to give a description of each of these sets. a) {0, 3, 6, 9, 12} {3n | n = 0, 1, 2, 3, 4} b) {−3,−2,−1, 0, 1, 2, 3} {x | −3 ≤ x ≤ 3}, where the domain is the set of integers. c) {m, n, o, p} {x | x is a letter of the word monopoly other than l or y} Find two sets A and B such that A ∈ B and A 드 B. A = Ø and B = {Ø} Consider the set A = {a, b, {a, b}}, where a and b are distinct elements. The number of elements in P(A) is . 8 The set P(PØ)) has elements. 2 Let A = {a, b, c}, B = {x, y}, and C = {0, 1}. Match the cartesian products (in the left column) to their corresponding member sets (in the right column). 3Correct: 2 A × B × C = {(a, x, 0), (a, x, 1), (a, y, 0), (a, y, 1), (b, x, 0), (b, x, 1), (b, y, 0), (b, y, 1), (c, x, 0), (c, x, 1), (c, y, 0), (c, y, 1)} C × B × A = {(0, x, a), (0, x, b), (0, x, c), (0, y, a), (0, y, b), (0, y, c), (1, x,a), (1, x, b), (1, x, c), (1, y, a), (1, y, b), (1, y, c)} C × A × B = {(0, a, x), (0, a, y), (0, b, x), (0, b, y), (0, c, x), (0, c, y), (1, a, x), (1, a, y), (1, b, x), (1, b, y), (1, c,x), (1, c, y)} B × B × B = {(x, x, x), (x, x, y), (x, y, x), (x, y, y), (y, x, x), (y, x, y), (y, y, x), (y, y, y)} Let A be the set of students who live within one mile of school and let B be the set of students who walk to classes. Describe the students in each of these sets. a) A U B The set of students who either live within one mile of school or walk to class b) B – A The set of students who live more than a mile from school but nevertheless walk to class c) A − B The set of students who live within one mile of school but do not walk to class d) A ∩ B The set of students who live within one mile of school and walk to class Suppose that A is the set of sophomores at your school and B is the set of students in discrete mathematics at your school. Match the sets given in the left to their symbolic expression in the right. 1. The set of sophomores taking discrete mathematics in your school 2. The set of students at your school who either are not sophomores or are not taking discrete mathematics 3. The set of sophomores at your school who are not taking discrete mathematics 4. The set of students at your school who either are sophomores or are taking discrete mathematics a the set of sophomores taking discrete mathematics in your school : A ∩ B b the set of sophomores at your school who are not taking discrete mathematics: A – B c the set of students at your school who either are sophomores or are taking discrete mathematics: A U B d the set of students at your school who either are not sophomores or are not taking discrete mathematics: Ā U (B WITH LINE) [Show More]

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