" 6.Let "R={(a,b):b=|a-1|,a in Z" and "|a|<3}

Let R={(a,b):b=|a-1|, a in Z and |a|lt 3}. Find the domain and range of R.

Let R={(a,b):a,b inZ" and "(a-b)" is even"}. Then, show that R is an equivalence relation on Z.

Let R={(a,b):a,b in Z and (a-b) is divisible by 5}. Show that R is an equivalence relation on Z.

Let m be a given fixed positive integer. Let R={(a.b) : a,b in Z and (a-b) is divisible by m} . Show that R is an equivalence relation on Z .

Let m be a given fixed positive integer. Let R={(a.b) : a,b in Z and (a-b) is divisible by m} . Show that R is an equivalence relation on Z .

Let Z be the set of integers.Show that the relation R={(a,b):a,b in Z and a+b is even } is an equivalence relation on Z .

Let Z be the set of integers.Show that the relation R={(a,b):a,b in Z and a+b is even } is an equivalence relation on Z .

Let Z be the set of integers. Show that the relation R={(a ,\ b): a ,\ b in Z and a+b is even} is an equivalence relation on Zdot

Let Z be the set of all integers and R be the relation on Z defined by R= { (a,b): a, b in Z and (a-b) is divisible by 5} . Prove that R is an equivalence relation