Answered: suppose complete and transitive check…

Math

Advanced Math

suppose complete and transitive check whether and are transitive and 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

suppose complete and transitive check whether > and are transitive and reflexive

Expert Solution

Step 1

As for relation to be reflexive

(i) for >

let a belongs to Real number

then it implies that a>a (so that it can be reflexive)

But a number cannot be greater than itself.

Therefore > is not reflexive

(ii) for ~

let a belongs to Real number

then it implies that a~a (so that it can be reflexive)

which is true as any number is similar to itself.

Therefore ~ is refllexive

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