list all ordered pairs in relation R ab ab is even on the s

list all ordered pairs in relation R={ (a,b)| a+b is even } on the set { 1, 2, 3, 4, 5 }

Solution

even number means if any number exactly devided by two.That is if we devide any number the reminder should be zero

the given set is {1,2,3,4,5}

we need to find R= {(a,b) such that a+b is EVEN}

the relation set will be R={(1,3),(1,5),(2,4),(3,1),(3,5),(4,2),(5,1),(5,3)}

any other pair sum than shown above will result odd number

that is for example if u choose (1,2) then 1+2=3 which is odd so this pair doesn\'t belong to R

(1,3) then 1+3=4 even number so it belong to R