Question

If A={1,2,3} , find the relation R={(a, b) ∈ A²|a>b}

Answer 1

$$A=\{1,2,3\}$$

The relation $R$ is defined as below

$$R:=\{(a,b)\in A^2|a>b\}$$

The member of this relation are below

$$R=\{(2,1),(3,1),(3,2)\}$$

We can see that $2>1, 3>1 \text{ and } 3>2$

Hence the relation is:

$$R=\{(2,1),(3,1),(3,2)\}$$