Write an equivalent statement that does not use the if ... then connec $\text { Use the fact that } p \rightarrow q \text { is equivalent to } \sim p \vee q \text {. }$
-If you can't find the right dress for the dinner, then you make one yourself.
A)You can find the right dress for the dinner or you make one yourself.
B)You can find the right dress for the dinner so you do not make one yourself.
C)You can't find the right dress for the dinner and you do not make one yourself.
D)You can't find the right dress for the dinner or you do not make one yourself.

Question

Quizplus · Accepted Answer

The statement "If you can't find the right dress for the dinner, then you make one yourself" is logically equivalent to "You can find the right dress for the dinner or you make one yourself," which uses the $\sim p \vee q$ form.

Write an Equivalent Statement That Does Not Use the If Use the fact that p→q is equivalent to ∼p∨q. \text { Use the fact that } p \rightarrow q \text { is equivalent to } \sim p \vee q \text {. } Use the fact that p→q is equivalent to ∼p∨q.

Write an Equivalent Statement That Does Not Use the If $\text { Use the fact that } p \rightarrow q \text { is equivalent to } \sim p \vee q \text {. }$