Answer:
p->q.
~p.
[tex]\therefore[/tex] ~q.
Step-by-step explanation:
I'm going to assume you are looking for symbolic representation.
p=it's a weekend
q=I exercise
The arrangement is this:
If it’s a weekend, I exercise. It’s not a weekend. So, I won’t exercise.
If p , q . ~p . So, ~q.
I try to space out my symbols to show you what I was replacing with what. (By the way I'm still not done.)
I replaced "it's a weekend" with p.
I replaced "it's not a weekend" with ~p which means not p.
I replaced "I exercise" with q.
I replaced 'I won't exercise" with ~q which means not q.
If then, statements are symbolized with an arrow, ->. Example, p->q means if p then q.
Back to the argument:
If it’s a weekend, I exercise. It’s not a weekend. So, I won’t exercise.
If p , q . ~p . So, ~q.
This first sentence is an if then statement with hypothesis p and conclusion q so it can be rewritten as p->q.
I'm going to replace so with [tex]\therefore[/tex]. I'm just trying to show what the conclusion of the argument is with this symbol.
This is the argument in symbolic representation:
p->q.
~p.
[tex]\therefore[/tex] ~q.
