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Tugas Relasi @Asmaul Khoiriah Hutauruk
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 : 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 Answer : 35. Find
a) R2 ∪ R4.
b) R3 ∪ R6.
c) R3 ∩ R6.
d) R4 ∩ R6.
e) R3 − R6.
f ) R6 − R3.
g) R2 ⊕ R6.
h) R3 ⊕ R5 Answer : 36. Find
a) R1 ◦ R1.
b) R1 ◦ R2.
c) R1 ◦ R3.
d) R1 ◦ R4.
e) R1 ◦ R5.
f ) R1 ◦ R6.
g) R2 ◦ R3.
h) R3 ◦ R3.
Answer : 37. Find
a) R2 ◦ R1.
b) R2 ◦ R2.
c) R3 ◦ R5.
d) R4 ◦ R1.
e) R5 ◦ R3.
f ) R3 ◦ R6.
g) R4 ◦ R6.
h) R6 ◦ R6.
Answer : ...