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 he isn't strong enough to hold the bat, then he can't play with us.
A)He is strong enough to hold the bat or he can't play with us.
B)He is strong enough to hold the bat or he can play with us.
C)He isn't strong enough to hold the bat so he can't play with us.
D)He isn't strong enough to hold the bat and he can play with us.

Question

Quizplus · Accepted Answer

The original statement "If he isn't strong enough to hold the bat, then he can't play with us" translates to $\sim p \rightarrow q$, which is equivalent to $p \vee q$. Option A, "He is strong enough to hold the bat or he can't play with us," correctly represents this logical structure.

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