The exclusive or does not allow both to be true; it translates to "either A or B, but not both." \hline A & B & A \vee B & A \wedge B & \sim(A \wedge B) & (A \vee B) \wedge \sim(A \wedge B) \\...The exclusive or does not allow both to be true; it translates to "either A or B, but not both." \hline A & B & A \vee B & A \wedge B & \sim(A \wedge B) & (A \vee B) \wedge \sim(A \wedge B) \\ Assume that the biconditional statement “You will play in the game if and only if you attend all practices this week” is true. The “Cheatriots” have a history of bending or breaking the rules, so Brady must have told the equipment manager to make sure that the footballs were underinflated.
