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Relations — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMathsRelations2 Marks
Question
Let the relation $R$ be defined on the set $A = \{1, 2, 3, 4, 5\}$ by $R = \{(a, b): |a^2 - b^2| < 8\}$. Write $R$ as a set of ordered pairs.
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Answer

Given: $A = {1, 2, 3, 4, 5} R = \{(a, b): |a^2 - b^2| < 8\}R = \{(1, 1), (1, 2), (2, 1), (2, 2), (2, 3), (3, 2), (3, 3), (3, 4), (4, 3), (4, 4), (5, 5)\}$

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