Question: Construct a truth table for the given statement. Identify whether the statement is a tautology. (~p right arrow q) logical and p Question content area

Construct a truth table for the given statement. Identify whether the statement is a tautology.

(~p

right arrow

q)

logical and

p

Question content area bottom

Part 1

Complete the truth table.

Part 2

Part 3

Part 4

pqleft parenthesis tilde p right arrow q right parenthesis logical and p
TT

F

T

TF

F

T

FT

T

F

FF

T

F

Part 5

Is the statement a tautology?

A.

The statement is not a tautology, since it is false for all combinations of truth values of the components.

B.

The statement is not a tautology, since there is at least one combination of truth values for its components where the statement is false.

C.

The statement is a tautology, since there is at least one combination of truth values for its components where the statement is true.

D.

The statement is a tautology, since it is true for all combinations of truth values of the components.

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