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See the instructions for Exercise (19) on page T00 from Section 3,1 (a) Proposition. Let R be a relation on a set 4. If Ris symmetric and transitive, then R is reflexive Proof. Let x V€ A. If xR y, then v R xr since R is symmetric. Now, x Ry and v R x. and since R is transitive, we can conclude that x Rx. Therefore, R is reflexive.

See the instructions for Exercise (19) on page T00 from Section 3,1 (a) Proposition. Let R be a relation on a set 4. If Ris symmetric and transitive, then R is reflexive Proof. Let x V€ A. If xR y, then v R xr since R is symmetric. Now, x Ry and v R x. and since R is transitive, we can conclude that x Rx. Therefore, R is reflexive.

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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I need to find what is wrong with this proof and fix it. I know it's incorrect but I don't know how to fix it.
(c) Give a geometric description of the set C. 16. Evaluation of proofs See the instructions for Exercise (19) on page 100 from Section 3.1. (a) Proposition. Let R be a relation on a set 4. If R is symmetric and transitive, then R is reflexive. Proof. Let x V€A. If xR y, then y R xr since R is symmetric. Now, xRy and v R x, and since R is transitive, we can conclude that x Rx. Therefore, R is reflexive.
Transcribed Image Text:(c) Give a geometric description of the set C. 16. Evaluation of proofs See the instructions for Exercise (19) on page 100 from Section 3.1. (a) Proposition. Let R be a relation on a set 4. If R is symmetric and transitive, then R is reflexive. Proof. Let x V€A. If xR y, then y R xr since R is symmetric. Now, xRy and v R x, and since R is transitive, we can conclude that x Rx. Therefore, R is reflexive.
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