SOLUTION: Write the argument below in symbols to determine whether it is valid or invalid. State a reason for your conclusion. Specify the p and q you used. Submit your full detailed solutio

Algebra ->  Conjunction -> SOLUTION: Write the argument below in symbols to determine whether it is valid or invalid. State a reason for your conclusion. Specify the p and q you used. Submit your full detailed solutio      Log On


   

Question 591864: Write the argument below in symbols to determine whether it is valid or invalid. State a reason for your conclusion. Specify the p and q you used. Submit your full detailed solution to the dropbox.

Either the gazebo is made of wood or the vine is growing on the gazebo.
The vine is not growing on the gazebo.
The gazebo is made of wood.

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Let
p = Gazebo is made of wood
q = Vine is growing on the gazebo

So the argument translates into


p V q
~q
--------
:. p

which is a valid argument as its in the form of a disjunctive syllogism (you need to use commutation first, but the idea is still the same).