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
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suppose complete and transitive check whether > and are transitive and reflexive
Transcribed Image Text: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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