The inequation satisfied by the ordered pair $\left(\text{2},\text{3}\right)$  is

Put $x=2,y=3\Rightarrow 2-3+5<0\Rightarrow 7-3<0\Rightarrow 4<0$ is false

B: Given ineqution $y-x+5<0$

Put $x=2,y=3\Rightarrow 3-2+5<0\Rightarrow 8-2<0\Rightarrow 6<0$ is false

C:Given ineqution $x-y-5<0$

Put $x=2,y=3\Rightarrow 2-3-5<0\Rightarrow 2-8<0\Rightarrow -6<0$ is true

D: Given inequation $x+y-5<0$

Put $x=2,y=3\Rightarrow 2+3-5<0\Rightarrow 5-5<0\Rightarrow 0<0$ is false