Question
The adjacent figure shows a relationship between the sets P and Q. Write this relation in:
  1. Set builder form.
  2. Roster form. What is its domain and range?

Answer

  1. Set builder form of the relation from P to Q is,
$\text{R}=\{(\text{x, y}):\text{y}=\text{x}-2,\text{x}\in\text{P},\text{y}\in\text{Q}\}$
  1. Roster form of the relation from P to Q is,
R = {(5, 3), (6, 4), (7, 5)}
Domain(R) = {5, 6, 7}
Range(R) = {3, 4, 5}

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