Question:
The given figure shows a relationship between the sets P and Q. write this relation
(i) in set-builder form
(ii) in roster form.
What is its domain and range?
Solution:
According to the given figure, $P=\{5,6,7\}, Q=\{3,4,5\}$
(i) $\mathrm{R}=\{(x, y): y=x-2 ; x \in \mathrm{P}\}$ or $\mathrm{R}=\{(x, y): y=x-2$ for $x=5,6,7\}$
(ii) $R=\{(5,3),(6,4),(7,5)\}$
Domain of $R=\{5,6,7\}$
Range of $R=\{3,4,5\}$
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