3. Let U = {1, 2, 3, . . . , 20}. Write the following sets by list- ing the elements in braces: %3D (a) {x EU|6 < x < 13} (b) {x EUx is odd and 9 < x < 13} (c) {x EUx = 2n for some n EN} 4. Let U = {1, 2, 3, . . . , 20}. Write the following sets by list- ing the elements in braces: •.. 2 (a) {x EU|x is divisible by 4} (b) {x EU|x = 2n + 1 for some n EN} (c) {x EU|x = n² for some n EN} 5. Write these sets in set-builder notation, where U = {1,2, . . . , 20}. %3D (a) {11, 12, 13, 14} (b) {6, 8, 10, 12, 16} olgms (c) {4,8, 12, 16, 20} (d) {2,5, 10, 17}

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.2: Mappings
Problem 22E
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3. Let U = {1, 2, 3, . . . , 20}. Write the following sets by list-
ing the elements in braces:
%3D
(a) {x EU|6 < x < 13}
(b) {x EUx is odd and 9 < x < 13}
(c) {x EUx =
2n for some n EN}
4. Let U = {1, 2, 3, . . . , 20}. Write the following sets by list-
ing the elements in braces:
•.. 2
(a) {x EU|x is divisible by 4}
(b) {x EU|x = 2n + 1 for some n EN}
(c) {x EU|x = n² for some n EN}
5. Write these sets in set-builder notation, where
U = {1,2, . . . , 20}.
%3D
(a) {11, 12, 13, 14}
(b) {6, 8, 10, 12, 16}
Transcribed Image Text:3. Let U = {1, 2, 3, . . . , 20}. Write the following sets by list- ing the elements in braces: %3D (a) {x EU|6 < x < 13} (b) {x EUx is odd and 9 < x < 13} (c) {x EUx = 2n for some n EN} 4. Let U = {1, 2, 3, . . . , 20}. Write the following sets by list- ing the elements in braces: •.. 2 (a) {x EU|x is divisible by 4} (b) {x EU|x = 2n + 1 for some n EN} (c) {x EU|x = n² for some n EN} 5. Write these sets in set-builder notation, where U = {1,2, . . . , 20}. %3D (a) {11, 12, 13, 14} (b) {6, 8, 10, 12, 16}
olgms
(c) {4,8, 12, 16, 20}
(d) {2,5, 10, 17}
Transcribed Image Text:olgms (c) {4,8, 12, 16, 20} (d) {2,5, 10, 17}
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