?Complete the following truth table and explain your answers.
p q
T F
A.
? is true but
is false, because "or" situations require that at least one proposition be true.
is false, because both proposition must be true for the "and" situation to be true.
B.
? is false, because "or" situations require that all propositions be true.
is true, because "and" situations require that at least one propositions be true.
C.
?is true, because "and" situations require that at least one proposition be true.
is false, because "or" situations require that all propositions be true.
D.
?Both "and" and "or" situations require that all propositions be true. Therefore, both are false.
E.
?Both "and" and "or" situations require that at least one proposition be true. Therefore, both are true.
Answer: A
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A.
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