Question

construct a truth table for the given statement. ~q→~p fill in the truth table q p ~q ~p ~q→~p t t t f f t f f

Explanation:

Step1: Determine negation of q

Negation of a true statement is false and vice - versa.

q	¬q
T	F
F	T
F	T

Step2: Determine negation of p

Negation of a true statement is false and vice - versa.

p	¬p
F	T
T	F
F	T

Step3: Determine the truth - value of ¬q→¬p

The conditional statement A→B is false when A is true and B is false, and true otherwise.

¬q	¬p	¬q→¬p
F	T	T
T	F	F
T	T	T

Answer:

q	p	¬q	¬p	¬q→¬p
T	F	F	T	T
F	T	T	F	F
F	F	T	T	T