3. Let R be the relation on R defined by R {(x, y) ER x R| 2+y = 4 or a = y}. Answer each of the following parts by giving either a proof or a counterexample. (a) Sketch the set R in the ry-plane. (b)...

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3. Let R be the relation on R defined by R {(x, y) ER x R| 2+y = 4 or a = y}. Answer each<br>of the following parts by giving either a proof or a counterexample.<br>(a) Sketch the set R in the ry-plane.<br>(b) Is Ra function from R to R?<br>(c) Is R antisymmetric? Is R symmetric?<br>

Extracted text: 3. Let R be the relation on R defined by R {(x, y) ER x R| 2+y = 4 or a = y}. Answer each of the following parts by giving either a proof or a counterexample. (a) Sketch the set R in the ry-plane. (b) Is Ra function from R to R? (c) Is R antisymmetric? Is R symmetric?

Jun 05, 2022

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3. Let R be the relation on R defined by R {(x, y) ER x R| 2+y = 4 or a = y}. Answer each of the following parts by giving either a proof or a counterexample. (a) Sketch the set R in the ry-plane. (b)...

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