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

The binary operation ∨ on the set {1, 2, 3, 4, 5} is defined as a ∨ b = min {a, b} ∀ a, b ∈ {1, 2, 3, 4, 5}. Thus, the operation table for the given operation ∨ can be given as:

∨	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