Let denote the identity relation on a set a

Show that if R is a partial order relation on a then is a strict partial order relation on a

Show that if S is a strict partial order relation on a then is a partial order relation on a

I'm pretty sure I have these down I just want to make sure

For the first one, this one is just straight forward... I mean if you have a partial order relation and then you take out the identity it becomes irreflexive but I'm not sure how to "show" this. Do I just say:

means that x cannot be of the form making irreflexive and thus a strict partial order?

The second is basicly the same but the opposite way.