Homework Help: Geometry

Posted by Lauren on Saturday, January 7, 2012 at 8:44pm.

Which is logically equivalent to ~p -> q?
a.) ~q -> p
b.) ~q -> ~p
c.) q -> p
d.) q -> ~p

Geometry - bobpursley, Saturday, January 7, 2012 at 8:51pm
I am not certain of your usage of ->, but I have a technique you can use that will work always.

Construct a truth table, such as this:
http://www.gateways2learning.com/SetTheory/EquivalentStatements.pdf
Geometry - Steve, Sunday, January 8, 2012 at 3:31pm
It is just like your previous post. The contrapositive of

~p -> q

reverses the direction of implication, and the logical values:

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

Related Questions

Geometry - Given circle A with circumference 20 pi and the length of arc KD ...
Logic - Can someone please help me solve these problems? I have to use the 17 ...
Economics - I am on the chapter for International Trade in the book. I neew to ...
math - Question: Use logical equivalnces to show that the propositions !p -&...
Sabian - If air resistance offered to the motion of a projectile by the ...
Discrete math - Question: Use logical equivalnces to show that the propositions...
Pre-Cal. - Describe the end behavior of f(x)=2x^4-5x+1: A. x-->&#...
Economics - I have the following question in my assignment: The cost of ...
Philosophy (Logic) - I need help constructing a formal proof of validity for the...
math - Solve this : (8x^3 ) - (168x^2) + ( 864x) = 1120 please >>&...

For Further Reading

First Name:
School Subject:
Answer: