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Answer in one word.
If R is a relation from {11, 12, 13} to {8, 10, 12} defined by y = x - 3, find the range of R⁻¹.
If $R$ is a relation from $\{11, 12, 13\}$ to $\{8, 10, 12\}$ defined by $y = x - 3$, find the range of $R^{-1}$.
Answer
Answer
$\{11, 13\}$
$R=\{(11,8),(13,10)\}$, so $R^{-1}=\{(8,11),(10,13)\}$ and its range is $\{11,13\}$.