SOLUTION: I am not the brightest crayon in the box when it comes to algebra, but this stuff is horrific!. Please help me. It is for homework... 6. (a) Translate the argument into symb

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p: It is raining
q: We will close the window


Symbolic Form:

p -> q
q
-------
therefore p

Truth Table:

p	q	p -> q	q	p
T	T	T	T	T
T	F	F	F	T
F	T	T	T	F
F	F	T	F	F

premises - red, conclusion - blue

Look at line 3 in table: all true premises but false conclusion

Answer: argument is invalid

You can put this solution on YOUR website!

The only thing promised in this condition statement is that if it is raining then we will close the window

:

just because we close the window doesnt necessarily mean it is raining. It might or might not be raining

:

basically if p is the statement it is raining and q is we will close the window

:

We are given... if p then q or p->q. We are asked does q -> p



truth table

:

p  q  (p->q) -> (q->p)

______________________



T  T    T     T   T

T  F    F     T   T

F  T    T     F   F

F  F    T     T   T

:

therefore the statement is invalid