Homework Help - ( X Home Page - my.N' X Ch. 2 (Sets) Section: X y! Let A = {a, b}, B = { x Home Page - my.N' X Syllabus for Fall 202 x + V X > C anyit.instructure.com/courses/12986/assignments/149849 P . . . SP21 - (Sections 2.1 - 2.3) Homework-1.docx & Download Info X Close Page of 2 - ZOOM + Section 2.1 (Sets): 1. Let A = {a, b}, B = {1, 2, 3}, C = {x, y} Find the following Cartesian Products: a) AXB b) AXB XC 2. Using the set builder notation, express integers less than 10. 3. Suppose A = {1, 2}, find the power set of A. Section 2.2 (Set Operations) 4. Let U = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, A = {1, 3, 4, 9}, B = {2, 3, 6, 7, 8, 9, 10}. Perform the following set operations and for each one provide the Venn diagram: a) AUB b) AnB C) Ac d) A - B e) B - A Type here to search O 65OF Mostly cloudy ~ ( 4 x ENG 8:21 PM P IN 10/22/2021Homework Help - ( X Home Page - my.N' X Ch. 2 (Sets) Section: X y! Let A = {a, b}, B = { x Home Page - my.N' X Syllabus for Fall 202 x + V X > C anyit.instructure.com/courses/12986/assignments/149849 P . . . SP21 - (Sections 2.1 - 2.3) Homework-1.docx & Download Info X Close Page of 2 - ZOOM + 5. Using Set Identity, prove that (AU (BNC)) = (CUB.) n Ac Section 2.3 - Functions 6. Let sets: A = {a, b, c} and B = {1, 2, 3} and f(a) = 2, f(b) = 1, f(c) = 3. Find: a) The domain of f b) The codomain of f c) The image of a and b d) The preimages of 1 and 3 7. For a - c, determine whether function f: A - B is a one-to-one or onto function, or both (bijective/one-to-one correspondence). Justify your answer. a ) A = {a, b, c} and B = {x, y, z} and fla) = y, f(b) = x, f(c) = z. b) A = {a, b, c, d} and B = {x, y, z} and f(a) = z, f(b) = x, f(d) = y. C ) A = {a, b} and B = {x, y, z} and f(a) = x, f(b) = z. Type here to search O m 65OF Mostly cloudy ~ ( 4 x ENG 8:21 PM IN 10/22/2021Homework Help - ( X Home Page - my.N' X Ch. 2 (Sets) Section: X y! Let A = {a, b}, B = { x Home Page - my.N' X Syllabus for Fall 202 x + V X > C anyit.instructure.com/courses/12986/assignments/149849 P . . . SP21 - (Sections 2.1 - 2.3) Homework-1.docx & Download Info X Close Page C, where A = {a, b, c}, B = {1, 2, 3}, C = {x, y, z}, and g = {(a, 3), (b, 1), (c, 2) } and f = {(1, y), (2, x), (3, z)}. Find: a) fog b ) f- 1 9. Let f and g be functions from the set of integers to set of integers defined by: f (x) = x2 + 1 and g (x) = x + 2. Find: a) (fog) b) (go f) Type here to search P 65OF Mostly cloudy ~ ( x ENG 8:21 PM IN 10/22/2021