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.

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

Question

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

ganeshie8 · Answer

hint :
call,
p : The gazebo is not made of wood. 
q : The vine is growing on the gazebo

ganeshie8 · Answer

next step is to split the given statement  into 3 parts.


Either the gazebo is made of wood 

or 

the vine is growing on the gazebo.

ganeshie8 · Answer

can you put the sentence in p and q ?

anonymous · Answer

~pVq

ganeshie8 · Answer

wow thats right!! good work :D

ganeshie8 · Answer

so lets use this to decide if the given argument is valid or not

ganeshie8 · Answer

~p v q 

is always true, because, here q is true

right ?

anonymous · Answer

how we do that

ganeshie8 · Answer

"or"  is true when ATLEAST one of the inputs is true

ganeshie8 · Answer

since "q" is true in our case, 

~p v q is also true

so the given argument is VALID !

ganeshie8 · Answer

makes sense ?

anonymous · Answer

yes