Tugas Wahyuning trisnani
EXERCISE I : 3. For each of these relations on the set {1, 2, 3, 4}, decide whether it is reflexive, whether it is symmetric, whether it is antisymmetric, and whether it is transitive. a) {(2, 2), (2, 3), (2, 4), (3, 2), (3, 3), (3, 4)} b) {(1, 1), (1, 2), (2, 1), (2, 2), (3, 3), (4, 4)} c) {(2, 4), (4, 2)} d) {(1, 2), (2, 3), (3, 4)} e) {(1, 1), (2, 2), (3, 3), (4, 4)} f ) {(1, 3), (1, 4), (2, 3), (2, 4), (3, 1), (3, 4) Answer : Exercises 34–37 deal with these relations on the set of real numbers: R1 = {(a, b) ∈ R2 | a>b}, the “greater than” relation, R2 = {(a, b) ∈ R2 | a ≥ b}, the “greater than or equal to”relation, R3 = {(a, b) ∈ R2 | a<b}, the “less than” relation, R4 = {(a, b) ∈ R2 | a ≤ b}, the “less than or equal to”relation, R5 = {(a, b) ∈ R2 | a = b}, the “equal to” relation, R6 = {(a, b) ∈ R2 | a=b}, the “unequal to” relation. 34 . Find a) R1 ∪ R3. b) R1 ∪ R5. c) R2 ∩ R4. d) R3 ∩ R5. e) R1 − R2. f ) R2 − R1. g) R1 ⊕ R3. h) R2 ⊕ R4 35 . Fin...
