Construct a truth table for the given statement. Identify whether the statement is a tautology. (-q-p) → (q^p) Р T T F F q T F T F (-q-p) (q^p) Is the statement a tautology? *** OA. The statement is not a tautology, since it is false for all combinations of truth values of the components. OB. The statement is not a tautology, since there is at least one combination of truth values for its components where the statement is false. OC. The statement is a tautology, since there is at least one combination of truth values for its components where the statement is true. OD. The statement is a tautology, since it is true for all combinations of truth values of the components.

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Construct a truth table for the given statement. Identify whether the statement is a tautology.
(-q-p) → (q^p)
P
T
T
F
F
q (-q-p) → (q^ p)
T
F
T
F
➤
➤
***
Is the statement a tautology?
OA. The statement is not a tautology, since it is false for all combinations of truth values of the components.
OB. The statement is not a tautology, since there is at least one combination of truth values for its components where
the statement is false.
OC. The statement is a tautology, since there is at least one combination of truth values for its components where the
statement is true.
OD. The statement is a tautology, since it is true for all combinations of truth values of the components.
Transcribed Image Text:Construct a truth table for the given statement. Identify whether the statement is a tautology. (-q-p) → (q^p) P T T F F q (-q-p) → (q^ p) T F T F ➤ ➤ *** Is the statement a tautology? OA. The statement is not a tautology, since it is false for all combinations of truth values of the components. OB. The statement is not a tautology, since there is at least one combination of truth values for its components where the statement is false. OC. The statement is a tautology, since there is at least one combination of truth values for its components where the statement is true. OD. The statement is a tautology, since it is true for all combinations of truth values of the components.
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