For the relation properties $($symmetric$,$ transitive, and reflexive$),$ state if each property applies on the relation $P,$ such that AAxinP, ComputerProgrammer $(x),$ where $(a,b)inP$ iff:

Both a and $b$ graduated from the same university.

$a$ is a manager of $b.$

b has at least as many years of experience as a$.$

a has more experience than $b.$

If any of the properties $($reflexive$,$ symmetric, or transitive$)$ does not apply, you have to justify why.