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 proofsSee 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 andtransitive, 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.

We use definition for following question

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

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

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.

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