Question

Which logic statement represents this argument? If it’s a weekend, I exercise. It’s not a weekend. So, I won’t exercise. Assume that p represents it’s a weekend and q represents “I exercise.”
28 points!!

Answer 1

Answer:

p->q.

~p.

$\therefore$ ~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 $\therefore$.  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.

$\therefore$ ~q.