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Consider the binary operation ^^on the s...

Consider the binary operation `^^`on the set `{1, 2, 3, 4, 5}`defined by `a^^ b = " min "{a , b}`. Write the operation table of the operation `^^`.

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To solve the problem, we need to create an operation table for the binary operation defined as \( a \, ^^ \, b = \text{min}(a, b) \) on the set \( \{1, 2, 3, 4, 5\} \). ### Step-by-Step Solution: 1. **Define the Set and Operation**: We have the set \( S = \{1, 2, 3, 4, 5\} \) and the operation defined as \( a \, ^^ \, b = \text{min}(a, b) \). 2. **Create the Table Structure**: ...
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