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 Rita does not want to go, then she stays home.
A)Rita does want to go or she does not stay home.
B)Rita does want to go or she stays home.
C)Rita does not want to go so she stays home.
D)Rita does not want to go and she does not stay home.

Question

Quizplus · Accepted Answer

The statement "If Rita does not want to go, then she stays home" can be represented as $\sim p \rightarrow q$. Using the equivalence $\sim p \rightarrow q \equiv p \vee q$, the statement becomes "Rita does want to go or she stays home."

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 $\text { Use the fact that } p \rightarrow q \text { is equivalent to } \sim p \vee q \text {. }$