Question: A. (10 points) Determine whether each statement is true or false. For each true statement, explain why the statement is true. For each false statement,

A. (10 points) Determine whether each statement is true or false.

A. (10 points) Determine whether each statement is true or false. For each true statement, explain why the statement is true. For each false statement, give a counterexample (by describing or defining a model) showing that the statement is false. 1. VxVy(Rxy Ryx), Rab E Rba 2. VxVy(Rxy Ryx), Rab E Raa 3. VxVytz((Rxy ^ Ryz) Rxz), Rab, Rbc F Rac 4. VxVytz((Rxy ^ Ryz) Rxz), Rab, -Rac E-Rbc 5. VxVyVz((Rxy ^ Ryz) Rxz), VxVy(Rxy Ryx), Rab E Raa A. (10 points) Determine whether each statement is true or false. For each true statement, explain why the statement is true. For each false statement, give a counterexample (by describing or defining a model) showing that the statement is false. 1. VxVy(Rxy Ryx), Rab E Rba 2. VxVy(Rxy Ryx), Rab E Raa 3. VxVytz((Rxy ^ Ryz) Rxz), Rab, Rbc F Rac 4. VxVytz((Rxy ^ Ryz) Rxz), Rab, -Rac E-Rbc 5. VxVyVz((Rxy ^ Ryz) Rxz), VxVy(Rxy Ryx), Rab E Raa

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