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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) A×B : x is one more than twice of y}
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B
R = {(x,y) A×B : y is one less than twice of x}
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C
R = {(x,y) A×B : y is one more than twice of x}
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D
R = {(x,y) A×B : y +1 is two more than x}
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Solution

The correct option is C R = {(x,y) A×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) A×B : y is one more than twice of x}

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