[" 4.सिद्ध Do that "R" In "R=((a,b):a<=b]," Relationship defined by "R" Spontaneous and infectious "],[" Is not symmetrical. "]

Let R be a relation on the set N given by R={(a ,\ b): a=b-2,\ b >6}dot Then, (a) (2,\ 4) in R (b) (3,\ 8) in R (c) (6,\ 8) in R (d) (8,\ 7) in R

Let R be a relation on the set N given by R={(a ,\ b): a=b-2,\ b >6}dot Then, (2,\ 4) in R (b) (3,\ 8) in R (c) (6,\ 8) in R (d) (8,\ 7) in R

Show that the vv:R xx R given by (a,b) to max {a,b} and the ^^ : R xx R to R given by (a,b) to min {a,b} are binary operations.

Show that the vv:R xx R given by (a,b) to max {a,b} and the ^^ : R xx R to R given by (a,b) to min {a,b} are binary operations.

Show that the vv:R xx R given by (a,b) to max {a,b} and the ^^ : R xx R to R given by (a,b) to min {a,b} are binary operations.

For the relation R_(1) defined on R by the rule (a,b)in R_(1):1+ab>0. Prove that: for (a,b)in R_(1)and(b,c)in R_(1)then(a,c)in R_(1) is not true for all a,b,c in R

Let R be a .relation from Q to Q defined by R={(a, b): a, b in Q and a-b in Z }. Show that i) (a, a) in R for all a in Q ii) (a, b) in R implies that (b, a) in R iii) (a, b) in R and (b, c) in R implies that (a, c) in R .

If relation R_1={(a,b):a,b in R,a^2+b^2 in Q} and R_2={(a,b):a,b in R, a^2+b^2 !in Q} Then

Let R be a relation from Q to Q defined by : R = {(a, b): a,b in Q and a-b in Z }. Show that : (a, b) in R implies that (b, a) in R.

Let R be a relation from Q to Q defined by R={(a,b): a,b in Q and a-b in Z} . Show that (i) (a,a) in R" for all " a in Q (ii) (a,b) in R implies that (b,a) inR (iii) (a,b) in R and (b,c) in R implies that (a,c) in R