IN DESPERATE NEED OF HELP. PLEASE TAKE THE TIME TO HELP ME! Look at the argument below. Which of the following symbolic statements shows the set-up used to find the validity of the argument?
If it is July, then I am living at the lake.
I am not living at the lake.
Therefore, it is not July.
p: It is July.
q: I am living at the lake.

Question

IN DESPERATE NEED OF HELP. PLEASE TAKE THE TIME TO HELP ME! Look at the argument below. Which of the following symbolic statements shows the set-up used to find the validity of the argument?
  If it is July, then I am living at the lake.
  I am not living at the lake.
  Therefore, it is not July.
  p: It is July.
  q: I am living at the lake.

anonymous · Answer

You're not living at the lake.. I guess it's not July.

anonymous · Answer

The answer choices are 
A: 	[(p → q) ∧ ~q] ∴ p 
B: [(p → q) → q] ∴ p
C: [(p → q) ∧ ~q] ∴ ~p
D: [(p → q) ∧ q]  ∴ p

ganeshie8 · Answer

If it is July, then I am living at the lake. (p->q)

ganeshie8 · Answer

I am not living at the lake. (~q)

ganeshie8 · Answer

combine both :-

(p->q) ∧ ~q

anonymous · Answer

Ganeshie's got it!

ganeshie8 · Answer

Therefore, it is not July. (~p)

ganeshie8 · Answer

Overall :

[(p → q) ∧ ~q] ∴ ~p