Question

4. Tis irreflexive Quest Whier onsider the following relation on set B = (a, b, (a), (b), (e. f(a, b), (b. (a, b)) ((a, b), a). ({b}, a),(a, - er questions 7 to 10 by using the given relation P and the set B. 2. Question 7 on one of the following alternatives represents the range of P (ran(P))? + 1. 2. 3. 4. (a, b, (a). (a, b)} ſa, b. (a), (b), (a, b}} (a, b, {b}. (a, b}} (a, b, a, b}} S Question 8 Which one of the following relations represents the composition relation PoP (ie P: Py 1. ((a. (a, b)). (b, a),(a, b), a), ({b}, {a}). (a. {a}}} 2. {(a, (a, b)). (b. a),(a, b), a). ({b}, {a}}} 3. ffa, (a, b)). (b. a),(a, b), {a}), ((a, b), b), ({b}, b), ({b}, {a}}} 4. (la, (a, b)). (b. a), ((a, b). (a)). (a, b), b), ({b}, {a})} Question 9 The relation P does not satisfy trichotomy. Which ordered pairs should be included in Pa an extended relation P: (say) would satisfy trichotomy? (For inchotomy, each element of B must be paired with each other different element in B to form! elements of Pt. For example, we see that b {a} but neither (b, {a}) nor (a), b) are elements of P, but at least one of these elements should be an element of P1. We include (b, {a}) in Py: P = {(a, b), (6,(a, b)), ({a, b}. a), ({b}, a),(a, {a}), (b, {a}), ...).

please help me with question 8

Answer 1

composition relation: AOB = {(2, 2) e xxz | 7 y EY : (214) CA 1(4,2) EB} . A = (XxY) B= (4x2) given set p= {(a,b), (b, faib}), ( fait?, a), (863,4), (9,893)} . selected a b fails mapping tuple Second element clemat b n Zaib} → a. {a,b} ~ a b {(A, £,.b), (6,4), (ha,b,6), faib} wan ha} Baib} , {a}) ({33, b), {6} -amb ( 163, 293 ) } . So Answer is 13 Por {b} a ha} for the tuple to gonto result set. The selected tuple second typle should present has first element in othon typle, so the resultant teple (first element of selected second of tiple where mapping occured