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Relations and Functions
Oswaal
CBSE
Grade 12

Question:

Let $S$ be the set of all real numbers. Show that the relation $R = \{(a, b) : 1 + a b > 0\}$ is reflexive and symmetric but not transitive.

Step-by-Step Solution

Key Concept: Reflexive and symmetric proof with counterexample for transitivity.
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Correct Answer:
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