Army Group X Practice Set 4

Given,
R={(x,y):2x+y=41,x,y∊N}
⇒R= (1,39),(2,37),(3,35),(4,33),
(5,31),(6,29),(7,27),(8,25),
(9,23),(10,21),(11,19),(12,17),
(13,15),(14,13),(15,11),(16,9),
(17,7),(18,5),(19,3),(20,1)
Here, (a,a)∊R so, R is not reflexive.
∴(a,b)∊R⇒(b,a)∉R, so R is not symmetric and (a,b)∊R⇒(b,a)∊R
(a,c)∉R,so‌R is not transitive.