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Relations — MATHS STD 11 Science — Question

Gujarat 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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