Question: Please help me! Prove with example Problem 1 [16 pts]: Let S be the following relation on the set Z: a Sb iff 5 (a

Please help me! Prove with example

Problem 1 [16 pts]: Let S be the following relation on the set Z: a Sb iff 5 (a + b) Determine if S satisfies the indicated property making sure to support your reasoning: 1. Reflexive 2. Transitive 3. Symmetric 4. AntisymmetricProblem 2 [16 pts]: Determine which of the following are true and while are false. If the statement is true give supporting reasons. If the statement is false give a counterexample or supporting reasons: 1. Vo, de N, if old then | c) (pAr) and pA (-7q Vr) without using a truth table. If you can't do this you can construct a truth table for half the points

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