Question:
Consider the binary operation $\vee$ on the set $\{1,2,3,4,5\}$ defined by $a \vee b=\min \{a, b\}$. Write the operation table of the operation $v$.
Solution:
The binary operation ∨ on the set {1, 2, 3, 4, 5} is defined as a ∨ b = min {a, b}
&mnForE; a, b ∈ {1, 2, 3, 4, 5}.
Thus, the operation table for the given operation ∨ can be given as: