Show that the relation R in the set $A= [1,2,3,4,5]$ given by $R= [(a,b):|a-b|]$ is divisible by 2. It is an equivalence relation . Show that all the elements of $[1,3,5]$ are related to each other and all the elements of $[2,4]$ are related to each other , but no element of ${1,3,5}$ is related to any element of $[2,4]$

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