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 win the set, then you don't bother playing.
A)You can't win the set so you don't bother playing.
B)You can't win the set and you do bother playing.
C)You can win the set or you do bother playing.
D)You can win the set or you don't bother playing.

Question

Quizplus · Accepted Answer

The original statement "If you can't win the set, then you don't bother playing" is a conditional statement of the form $p \rightarrow q$. Using the equivalence $p \rightarrow q \equiv \sim p \vee q$, the statement can be rewritten as "You can win the set or you don't bother playing," which matches option D.

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