Examples of binary relations

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Reference no: EM13132161

Undergraduate senior level Real Analysis.

Please show me formal math proofs.

Give an example of a binary relation which is

- Reflexive and symmetric but not transitive

- Reflexive, but neither symmetric nor transitive

- Symmetric, but neither reflexive nor transitive

- Transitive, but neither reflexive nor symmetric

(Please show your solutions as if they were the answers in a real exam and please kindly explain each step of your solution if necessary. I am attaching my textbook copy as your reference, so please do not use the theorems, corollaries, ..... from outside of my textbook. For more clarification, please contact me. Thank you.)

Reference no: EM13132161

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