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(c) Let X, Y, Z, and T be arbitrary sets as per the diagram below, with U being the universal set. Universal Set U 14 X 11 12 10 Figure 1: The sets X, Y, Z, T. List all the regions in each set given below. The regions must be listed from small to large, separated by a comma and with no space. An example: for XnY, the answer is 2,5,6,7. (X@Y)-(ZOT) (T-(x-2))n(Y-ZOT)

(c) Let X, Y, Z, and T be arbitrary sets as per the diagram below, with U being the universal set. Universal Set U 14 X 11 12 10 Figure 1: The sets X, Y, Z, T. List all the regions in each set given below. The regions must be listed from small to large, separated by a comma and with no space. An example: for XnY, the answer is 2,5,6,7. (X@Y)-(ZOT) (T-(x-2))n(Y-ZOT)

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Solve c part only
Question 1: Sets (a) (b) (d) Let Q = Q. N = N, Z = Z, R = R. X = (10r: z € N), Y = {: vez), and 1.y€Z₁y#0}{:.y€Z.y#0}. Give the order of set containment of the W = {F sets Q. N. Z. R. X, Y and W. Format your answer as illustrated by the following example: the string ABCDEF would indicate the set containment AC BCCCDCECF. Select all sets below that are equal to the set X= (2,3,6, d) {2,4.a, b, d) (3,4,b,c) (4,5,a,d,e) {1,4,b,c,d) (1,3,4,5, a). The universal set is the set Z of integers union the set E of lower case letters in the English alphabet. A. (z:ze (3,4,6, a,b,c)) B. (x:x (6,e}} C. 0 D D. (3.a) U (3,4,6}U {e, 6) E. (e) U (6) F. ({a,b,c,d,e) U (1,2,3,4,5,6})-(1,2,5,c,d) G. ({a,b,c,4,5,6)n (1,4,6,a,e))-(4.a) H. Xn(XUX) L. XnO XI K. (En (3,4,6)) U {a,b,c} LXnO (c) Let X, Y, Z, and T be arbitrary sets as per the diagram below, with U being the universal set. Universal Set U X A= (100) B= (101) 11 Consider the following sets: • C= {zry: ze (0,1), y € (0,1)) • D= (01:1€ (0,1)) • E = (00z: ze {0,1}} • F= {lr: 2€ (0.1)) G= {lrz:z (0.1}} 12 Figure 1: The sets X, Y, Z, T. List all the regions in each set given below. The regions must be listed from small to large, separated by a comma and with no space. An example: for XY, the answer is 2, 5, 6, 7. i (X@Y)-(Zn) (T-(x-2))n(Y-ZOT) ii. 10 13 Y Identify two different partitions of the set of 3 digit binary strings using one or more of the sets defined above. Give your answer by writing the letters corresponding to the sets in each partition in the alphabet- ical order in the two fields provided in the quiz. If they are of different length (of letters), enter the largest in the first field. E.g. ACEF (in first field) and ABG (in second slot).
Transcribed Image Text:Question 1: Sets (a) (b) (d) Let Q = Q. N = N, Z = Z, R = R. X = (10r: z € N), Y = {: vez), and 1.y€Z₁y#0}{:.y€Z.y#0}. Give the order of set containment of the W = {F sets Q. N. Z. R. X, Y and W. Format your answer as illustrated by the following example: the string ABCDEF would indicate the set containment AC BCCCDCECF. Select all sets below that are equal to the set X= (2,3,6, d) {2,4.a, b, d) (3,4,b,c) (4,5,a,d,e) {1,4,b,c,d) (1,3,4,5, a). The universal set is the set Z of integers union the set E of lower case letters in the English alphabet. A. (z:ze (3,4,6, a,b,c)) B. (x:x (6,e}} C. 0 D D. (3.a) U (3,4,6}U {e, 6) E. (e) U (6) F. ({a,b,c,d,e) U (1,2,3,4,5,6})-(1,2,5,c,d) G. ({a,b,c,4,5,6)n (1,4,6,a,e))-(4.a) H. Xn(XUX) L. XnO XI K. (En (3,4,6)) U {a,b,c} LXnO (c) Let X, Y, Z, and T be arbitrary sets as per the diagram below, with U being the universal set. Universal Set U X A= (100) B= (101) 11 Consider the following sets: • C= {zry: ze (0,1), y € (0,1)) • D= (01:1€ (0,1)) • E = (00z: ze {0,1}} • F= {lr: 2€ (0.1)) G= {lrz:z (0.1}} 12 Figure 1: The sets X, Y, Z, T. List all the regions in each set given below. The regions must be listed from small to large, separated by a comma and with no space. An example: for XY, the answer is 2, 5, 6, 7. i (X@Y)-(Zn) (T-(x-2))n(Y-ZOT) ii. 10 13 Y Identify two different partitions of the set of 3 digit binary strings using one or more of the sets defined above. Give your answer by writing the letters corresponding to the sets in each partition in the alphabet- ical order in the two fields provided in the quiz. If they are of different length (of letters), enter the largest in the first field. E.g. ACEF (in first field) and ABG (in second slot).
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