1. Tardigrade
  2. Question
  3. Mathematics
  4. Let R be a relation defined by R= (x, x+5): x ∈ 0,1,2,3,4,5 Then, consider the following statements Statement I The domain of R is 0,1,2,3,4,5 . Statement II The range of R is 0,1,2,3,4,5 . Choose the correct option.

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Q. Let $R$ be a relation defined by
$R=\{(x, x+5): x \in\{0,1,2,3,4,5\}\}$
Then, consider the following statements
Statement I The domain of $R$ is $\{0,1,2,3,4,5\}$.
Statement II The range of $R$ is $\{0,1,2,3,4,5\}$.
Choose the correct option.

Relations and Functions

Solution:

The given relation in Roster form is
$R=\{(0,5),(1,6),(2,7),(3,8),(4,9),(5,10)\} $
Domain of $R=\{0,1,2,3,4,5\}$
Range of $R=\{5,6,7,8,9,10\}$