Hello! I have 5 questions that I need help with. Please assist me and show me how it is done so that I can better understand my class work. Thank you

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Question 1 0 3 2 Assume S = [0, 1, 2. 3). Which of the following describes the relation defined on S shown in the above directed graph? O (la, bl la, be S, a > bab>a] O (la, b) | a, be S, b = [a + 1) mod 4] [la, b) [ a, be S, a b] O [la, b) [ a, be S, a * b] Question 2 Given the relation R = [(n, m] [ n, me Z. (n/3] = [m/3]]. Which of the following is one of the equivalence classes of this relation? O (3, 4, 5] O (1, 3, 5, 7) O (1, 2, 3) O (-3, -2, -1, 0, 1, 2, 3]Question 3 Consider the relation R defined on Z x Z as follows, R = [I(x1. yi). (xx. vall I (x1. Vil. (xx. vale Z x Z. x, s xx A Y, S ya). Which of the following statements about R is correct? OR is not a partial order because it is not antisymmetric OR is not a partial order because it is not transitive OR is a partial order OR is not a partial order because it is not reflexive Question 4 Assume A is the set of positive integers less than 3 and B is the set of positive integers less than 4 and R is a relation from A to B and R = [(1, 2), (1, 3), (2, 1). (2. 3]] Which of the following describes this relation? [a, b] | ac A, Be B, a * bj [a, b] | ac A, BeB, a > bAb >a] Ofa, b] [ ac A, Bc B, b=a+ 1] [a, b] | ac A, BeB, ab] Question 5 Assume S = [0, 1, 2, 3) and R is the relation defined on set S as follows, R = [(0, 0). (0. 1), (1, 0], (1, 1), (1, 2). (2, 2), (2, 3), (3, 3)]. Among reflexive. symmetric, antisymmetric and transitive, which of those properties are true of this relation? It is only reflexive It is both reflexive and transitive It is only symmetric It is both reflexive and symmetric