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Relations — Maths STD 11 Science — Question

CBSE BoardEnglish MediumSTD 11 ScienceMathsRelations3 Marks
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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