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  • Let A = {1, 2, 3,...,14}. Define a relation R from A to A by R = {(x, y) : 3x – y = 0, where x, y belongs to A}. Write down its domain, codomain and range.

Q1  Let A = {1, 2, 3,...,14}. Define a relation R from A to A by
R = \left \{ ( x,y): 3x -y = 0 , where \: \: x , y \epsilon A \right \} . Write down its domain, codomain and
range.

Answers (1)

best_answer

It is given that 
A = \left \{ 1, 2, 3, ..., 14 \right \} \ and \ R = \left \{ (x, y) : 3x - y = 0, \ where \ x, y \ \epsilon \ A \right \}
Now, the relation R from A to A is given as
R = \left \{ ( x,y): 3x -y = 0 , where \: \: x , y \epsilon A \right \}
Therefore,
the relation in roaster form is ,  ,R = \left \{ (1, 3), (2, 6), (3, 9), (4, 12) \right \}
Now,
We know that  Domain of R = set of all first elements of the order pairs in the relation
Therefore,
Domain of   R = \left \{ 1, 2, 3, 4 \right \}
And
Codomain of R = the whole set A
i.e.   Codomain of   R = \left \{ 1, 2, 3, ..., 14 \right \}
Now,
Range of R = set of all second elements of the order pairs in the relation.
Therefore,
range of    R = \left \{ 3, 6, 9, 12 \right \}

 

 

 

 

 

 

 

 

 

 

 

 

 

Posted by

Gautam harsolia

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