Question

S is set of all people in the world today aRb iff a lives within 75 kilometre of b . determine this is a equivalence​

Answer 1

Answer:

(a,a)ϵR R is reflexive

(a,b)ϵR⇒a lives within one kilometer from b

⇒b lives within one kilometer from a

⇒bRa

∴(a,b)ϵR⇒(b,a)ϵR

∴R is symmetric

∴R is anti symmetric

because (a,b)ϵR & (b,a)ϵR and a=b

Step-by-step explanation:

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