Hello All,

Question:

If Sarah studies hard then she gets A’s or she gets rich.

She doesn’t get A’s and she doesn’t get rich.

Therefore she doesn’t study hard.

Answer:

Let :

P = Sarah studies hard

Q = She gets A's

R = She gets rich

Then the argument is

$\displaystyle P \Rightarrow Q \vee R $

$\displaystyle \sim Q \wedge \sim R $

$\displaystyle :. \sim p $

Not sure if symbolic form I have written is correct for the above argument.

Help!