Question

The given Arrow Diagram represents a relation between A and B. How do we represent this relation in Set-Builder form?

• A. R = {(x,y) $\in$ A$\times$B : y +1 is two more than x}
• B. R = {(x,y) $\in$ A$\times$B : y is one more than twice of x}
• C. R = {(x,y) $\in$ A$\times$B : y is one less than twice of x}
• D. R = {(x,y) $\in$ A$\times$B : x is one more than twice of y}

Answer 1

The correct option is B R = {(x,y) $\in$ A$\times$B : y is one more than twice of x}

We should first compare the terms and see what is the relation between the terms.
Terms of Set A = {2,6,5,4}
Terms of Set B = {5,13,11,9}
If we take terms of A as x and terms of B as y,
y = 2x + 1
In Set-Builder form we can write it as :
R = {(x,y) $\in$ A$\times$B : y is one more than twice of x}