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  • Determine the domain and range of the relation R defined by R = {(x, x + 5) : x belongs to {0, 1, 2, 3, 4, 5}}.

Q6  Determine the domain and range of the relation R defined by
      R = \left \{ ( x , x +5 ): x \epsilon \left \{ 0,1,2,3,,4,5 \right \} \right \}

Answers (1)

best_answer

It is given that 
 R = \left \{ ( x , x +5 ): x \epsilon \left \{ 0,1,2,3,,4,5 \right \} \right \}

Therefore,
the relation in roaster form is , R = \left \{ {(0,5), (1,6), (2,7), (3,8), (4,9), (5,10)} \right \}

Now,
As Domain of R = set of all first elements of the order pairs in the relation.
Therefore,
 Domain of  R =\left \{ {0, 1, 2, 3, 4, 5} \right \}

Now,
As Range of R = set of all second elements of the order pairs in the relation.
Range of    R =\left \{ {5, 6, 7, 8, 9, 10} \right \}

Therefore,  the domain and range of the relation R is \left \{ 0,1,2,3,4,5 \right \} \ \ and \ \ \left \{ {5, 6, 7, 8, 9, 10} \right \}   respectively

Posted by

Gautam harsolia

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