Question: Consider the binary relation R, S, T. Prove the following: Use the relations T=R and S=R 1 on Z where R is the relation

Consider the binary relation R, S, T. Prove the following:

Use the relations T=R and S=R1on Z where R is the relation "<" to demonstrate that "" in

T(RS)(TR)(TS)

cannot be replaced with "=". Do the same thing with relations onNwhereRis the divisibility relation andS, Tare defined fromRas above.

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