Question

Set A = {5, 9, 11} and set B = {5, 9, 10}. Let aRb be such that a<b where $a\in A,b\in Band(a,b)\in R$.

• A. {5, 9, 10}
• B. {5, 9, 11}
• C. {9, 10}
• D. {(5,9)(5,10)(9,10)}

Answer 1

a R b means that a < b, where a $\in$ A, b $\in$ B and (a, b) $\in$ R.
Then aRb = Relation of elements of set A to elements of set B = {(5, 9), (5, 10), (9, 10)}

Domain = {5, 9, 11} $\to$ set of first component of all the ordered pair which belong to R

Co domain = {5, 9, 10} $\to$ set B is called Co domain of Relation R

Range = {9, 10} $\to$ set of second components of all the ordered pairs which belong to R.