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}
for a, b ∈ {1, 2, 3, 4, 5}
use formula , min{a,b} = 1/2 {(a + b) + |a - b|}

Therefore, the operation table of the given operation ∨ can be given as:

Answer 2

Answer:

Step-by-step explanation:The binary operation ∨ on the set {1, 2, 3, 4, 5} is defined as a ∨ b = min {a, b}

for a, b ∈ {1, 2, 3, 4, 5}

use formula , min{a,b} = 1/2 {(a + b) + |a - b|}

Therefore, the operation table of the given operation ∨ can be given as: