Caleb suggests an alternative proof to Claim 2.1.4: "Take A = {1, 2, 3, ..., 100}, B = {50, 51, 52, 53,... , 200} and suppose that the universal set is N Then (AU B)° = {1,2,3, ..., 200}° = {201, 202, 203, ...} and %3D A° N B = {101, 102, 103, ...} n {201, 202, 203...} {201, 202, 203, ...}.We see that (AUB) = A°N B, as needed." What is wrong with Caleb's solution?" O To obtain a complete proof, Caleb should have done a few more examples. O Caleb computed the set (A U B)° incorrectly. O Caleb did not draw a Venn diagram. O Examples cannot be used to prove a general set identity. O Caleb computed the set A N B incorrectly.

Caleb suggests an alternative proof to Claim 2.1.4: "Take A = {1, 2, 3, ..., 100}, B = {50, 51, 52, 53,... , 200} and suppose that the universal set is N Then (AU B)° = {1,2,3, ..., 200}° = {201, 202, 203, ...} and %3D A° N B = {101, 102, 103, ...} n {201, 202, 203...} {201, 202, 203, ...}.We see that (AUB) = A°N B, as needed." What is wrong with Caleb's solution?" O To obtain a complete proof, Caleb should have done a few more examples. O Caleb computed the set (A U B)° incorrectly. O Caleb did not draw a Venn diagram. O Examples cannot be used to prove a general set identity. O Caleb computed the set A N B incorrectly.

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

See similar textbooks

Similar questions

C.14. List the subsets of set Q given that Q={w,x,y,z}. no element How many such subsets? one element only How many such subsets? two elements only How many such subsets? three elements only How many such subsets? four elements How many such subsets? Give the total number of subsets of Q.
b. Determine whether the following given permutation is even or odd? (picture)
#47
Help please.. i got wrong explanation 2 times.. help with right answer
15. consider the following sets: U={-5,-4,-3,-2,-1,0,1,2,3,4,5}; A={x: x^2=25} ;B={-5,0,1,2,3,4,5}; C={x:x^2-5x+6=0}. Which set is equal to (BIA)^c? *
Given the following sets, determine C n F. U= (0,1,2,3,4,5,...) C = {1,2,3,4,...) F=(3,6,9,12,...} Choose the correct answer below. OA. COF= {3} OB. CnF=(3,6,9,12,...} O'c. cn F= (0,1,2,3,4,5,...) OD. COF={1,2,3,4,...} OE. COF=Ø
Matreical :Daly analysis
D5)
(1.1) For sets A and B. prove that P(AB) = P(A) OP(B)
H. Given: Use the given sets to find the following If U = { 1,2,3,4,5,6, 7} A = {1,2,3} , B ={ 1,2,4} C ={ 3,4,5}, D = { 1,6} %3D %3D 1. (AUB)N (CUD) 2. (ANB)UD' 3. A'N D'
Determine. the Wq%=(12,3), Wi=(1,3,5) %3D I5;9) span R OY not; where V=(2,7,8).
11. consider the following sets: U = {-5,–4,–3, – 2, –1,0,1,2,3,4,5}, A = {x: x² = 25}, B = {-5,0,1,2,3,4, 5} C = {x:x² – 5x + 6 = 0}. a. What is A O B? b. Which is equal to B\C? c. Which set is equal to (B\A)°? d. What is the cardinality of a countably infinite set?