Question

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∨.

Answer 1

Consider the binary operation ∧ on the set { 1,2,3,4,5 } that is defined by a∧b=min{ a,b } . The domain of the variable ( a,b )∈{ 1,2,3,4,5 } .

The operation table that provides the minimum value of the two functions a and b is shown in the figure below:

∧	1	2	3	4	5
1	1	1	1	1	1
2	1	2	2	2	2
3	1	2	3	3	3
4	1	2	3	4	4
5	1	2	3	4	5