Q11 of 65 Page 67

Define a relation R from Z to Z, given by

R = {(a, b): a, b ϵ Z and (a – b) is an integer.


Find dom (R) and range (R).


Given: R = {(a, b): a, b ϵ Z and (a – b) is an integer


The condition satisfies for all the values of a and b to be any integer.


So, R = {(a, b): for all a, b ϵ (-, )}


Dom(R) = {-, }


Range(R) = {-, }


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