Considerthe binary operation ∨on the set {1, 2, 3, 4, 5} defined by a∨b= min {a,b}.Write the operation table of the operation∨.
The binaryoperation ∨ 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, theoperation 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 |