Question

Let R be a relation on the set N be defined by {(x, y) | x, y € N, 2x + y = 41}. Then Ris (a) Reflexive qy +2 때 (b) Symmetric (c) Transitive. (d) None of these​

Answer 1

Answer: (d) none of these

Step-by-step explanation:

2x+y=41

x=1,y=39

x=2,y=37

x=3,y=35

x=4,y=33

x=5,y=31

x=6,y=29

x=7,y=27

x=8,y=25

x=9,y=23

x=10,y=21

x=11,y=19

x=12,y=17

x=13,y=15

(1,39) satisfy the relation, 2x+y=41

but (39,1) does not satisfy the relation.

So it is not symmetric.

So (d) None of these