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Show that the relation R in R defined as...

Show that the relation R in R defined as `R={(a ,b): alt=b}`, is reflexive and transitive but not symmetric.

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To show that the relation \( R \) defined as \( R = \{(a, b) : a \leq b\} \) is reflexive, transitive, but not symmetric, we will analyze each property step by step. ### Step 1: Check for Reflexivity A relation \( R \) is reflexive if for every element \( a \) in the set, the pair \( (a, a) \) belongs to \( R \). - For our relation, we need to check if \( (a, a) \in R \). - Since \( a \leq a \) is always true (as any number is equal to itself), we can conclude that \( (a, a) \in R \) for all \( a \). ...
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