Q6. Let A be the set {a, 3, 7, 6}. For each of the following relations on A, draw the arrow diagram of A, and decide whether the relation is reflexive, symmetric, anti-symmetric, transitive. Explain your answers. (i) R = {(a, a), (B, B), (7, 7), (8, 8), (a, B), (B, a), (B, 7), (7,5)} (ii) S = {(6, 7), (8,3), (8, a), (y, a), (3, a),(a, a)} (iii) T = {(a, a), (B, B), (7.7)} (iv) W = {(a,y), (3,6), (7.a), (8,3)}
Q6. Let A be the set {a, 3, 7, 6}. For each of the following relations on A, draw the arrow diagram of A, and decide whether the relation is reflexive, symmetric, anti-symmetric, transitive. Explain your answers. (i) R = {(a, a), (B, B), (7, 7), (8, 8), (a, B), (B, a), (B, 7), (7,5)} (ii) S = {(6, 7), (8,3), (8, a), (y, a), (3, a),(a, a)} (iii) T = {(a, a), (B, B), (7.7)} (iv) W = {(a,y), (3,6), (7.a), (8,3)}
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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Please do the following questions with handwritten working out
![Q6. Let A be the set {a, 3, 7, 8]. For each of the following relations on A, draw the arrow
diagram of A, and decide whether the relation is reflexive, symmetric, anti-symmetric,
transitive. Explain your answers.
(i) R = {(a, a), (B, B), (7, v), (8,5), (a, B), (B, a), (B, v), (7,5)}
(ii) S = {(6, 7), (8,3), (8, a), (y, a), (B, a),(a, a)}
(iii) T = {(a, a), (B, B), (1, 1)}
(iv) W = {(a, y), (B, 6), (y, a), (8, B)}](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fba18de34-fc06-47a6-b1ea-c54726b84874%2Ffc5b19df-0f5c-40e5-93f7-833aa7f50339%2Fw0h371s_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Q6. Let A be the set {a, 3, 7, 8]. For each of the following relations on A, draw the arrow
diagram of A, and decide whether the relation is reflexive, symmetric, anti-symmetric,
transitive. Explain your answers.
(i) R = {(a, a), (B, B), (7, v), (8,5), (a, B), (B, a), (B, v), (7,5)}
(ii) S = {(6, 7), (8,3), (8, a), (y, a), (B, a),(a, a)}
(iii) T = {(a, a), (B, B), (1, 1)}
(iv) W = {(a, y), (B, 6), (y, a), (8, B)}
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