This is a geometry question about disjunctions.

Question

The symbol "v" represents "or". "~" stands for "negation of"
Here are two questions I need help with:
1. When p v ~q is false, then p is ______ and q is _____.
I think "false" belongs in both spaces.
2. When ~p v q is false, then p is ______ and q is ________.
I think "false" is the answer to both of these as well.
Am I correct?

Answer 1

Is this how geometry is taught these days? It looks like symbolic logic to me.

I believe the answers are:
1. false; true
2. true; false

However I am interpreting the v ("or") symbol as also meaning "and".

I don't see how you can logically convert an "or" statemen to an "and" statement as you have done

Answer 2

I am not converting them to "and" statements. I am breaking apart statements p and q individually. These are 'disjunctions', did you know that? I'm just trying to see if we're on the same page.