Arrange the choices in order 1.2.3.. to prove:For any sets A, B and CA x (BUC) = (A x B) U (A x C), that is,(x,y) = A x (BUC)(x,y) = (A x B) U (A x C).1Choose...♦2Choose...#xEAAYE BUC (definition of Cartesian. product)3 (x,y) = A x (BUC)4#xEAA (YE Bv y = C) (definition of union of sets)➡XEA AXE BUC (definition of Cartesian. product)5(x,y) = A x B V (x,y) = A x C (definition.of Cartesian. product)(XE AAYE B) V (XE AAYE C) (distributive law)(x,y) = (A x B) U (A x C) (definition.of union of sets)(XEA AXEA) v (y e B) v (y e C) (idempotent law)67 QED

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Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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T T T T F 18. F 19. F 20. F 21. Let A and B be sets then A # B if, and only if A & B and B & A. For sets A, B, and C, if AB=ANC, then B = C. For sets A, B, and C, A U (BNC) = (A U B) N (A U C). For sets A, B, and C, A U (BUC) = (A U B) U C.
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Arrange the choices in order 1,2,3.. to prove: For any sets A, B and C Ax (BUC) = (A x B) U (A x C), that is, (x,y) = A x (BUC) = (x,y) = (A x B) U (A x C).