Check whether the relation R defined in the set {1,2,3,4,5,6} as
R={(a,b) : b=a+1} is reflexive, symmetric or transitive.

Explanation

R={(1,2),(2,3),(3,4),(4,5),(5,6),(6,7)}
Since `!= 1+1,(1,1)!in R`
`therefore`R is not reflexive`
`We have (2,3) in R (therefore 3 = 2+1)
but `(3,2) !in R (therefore 2 !in 3+1)`
` therefore ` R is not symmetric
We have `(2,3) in R` and `(3,4) in R`but `(2,4) !in R (therefore 4 != 2+1)`
` therefore` R is not transitive