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

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