1 Given set A = { 1, 2, 3, 4, 5} and the relation R is a relation on set A and R = { (a, b) | a divides b }. Which set below is equal to R? Question 1 options: 1) { (1, 1), (2, 2), (3, 3), (4, 4), (5, 5) } { (1, 1), (1, 2), (2, 2), (1, 3), (3, 3), (1, 4), (4, 4), (1, 5), (5, 5) } 2) { (1, 1), (1, 2), (2, 2), (1, 3), (3, 3), (1, 4), (2, 4), (4, 4), (1, 5), (5, 5) } 3) 4) The set R is empty 5) None of the others Question 2 Which of the following relations contains all of these ordered pairs? (3, 2), (5, 4), (4, 4) Question 2 options: 1) R = {(a, b) | a > b} 2) R = {(a, b) | a = b + 1} 3) 4) None of the others Question 3 Which of the following relations, R, are reflexive on the set A ? Select all that apply. Question 3 options: 1) 2) 3) A = { 1, 2, 3, 4}; R = { (1, 1), (1, 2), (1, 3), (2, 2), (3, 3), (4, 4) } A is the set of integers. A is the set of integers. A = { 1, 2, 3}; R = { (1, 1), (1, 2), (2, 1), (2, 3), (3, 2), (3, 3) } 4) Page 3 of 5 Question 4 Which of the following relations, R, are Symmetric on the set A ? Select all that apply. Question 4 options: 1) A = { 1, 2, 3, 4}; R = { (1, 1), (1, 2), (1, 3), (2, 2), (3, 3), (4, 4) } A is the set of integers. 2) A is the set of integers. 3) 4) A = { 1, 2, 3}; R = { (1, 1), (1, 2), (2, 1), (2, 3), (3, 2), (3, 3) } Page 4 of 5 Question 5 Which of the following relations, R, are transitive on the set A ? Select all that apply. Question 5 options: 1) 2) 3) 4) A = { 1, 2, 3, 4}; R = { (1, 1), (1, 2), (1, 3), (2, 2), (3, 3), (4, 4) } A is the set of integers. A is the set of integers. A = { 1, 2, 3}; R = { (1, 1), (1, 2), (2, 1), (2, 3), (3, 2), (3, 3) }