ignore angel part Only need part C and DSolutionThe relation

ignore angel part. Only need part C and D

The relation is said to be reflexive if (a,a) belongs to the relation

The relation is said to be symmetric if (a,b) belongs to R then (b,a) must also belongs to R

The relation is said to be transitive if (a,b) belongs to R and (b,c) belongs to R, then (a,c) will also belong to R

p T p -> (p->p) is true hence the relation is reflexive

p->q is true then what we can say about q->p, it can be true but also can be false, hence the relation is not symmetric

p->q, q-<r, hence p->r therefore the relation is transitive

Hence the relation will be relfexive, not symmetric and transitive

d) sRs-> since the first two characters of s will be same as s

Hence the relation is reflexive

sRt belongs to R, then t R s, since if sRt belongs to R it must same first two characters as t and t will be having same first two chracters as s

Hence the relation is symmetric

Relation is also transitive

Therefore relation is reflexive , symmetric and transitive i.e. equivalence relation