Construct the truth table for the following statement pattern. (p ∧ r) → (p ∨ ~q)

QUESTION

Miscellaneous Exercise 1 | Q 4.11 | Page 33

Construct the truth table for the following statement pattern.

(p ∧ r) → (p ∨ ~q)

SOLUTION

p	q	r	~q	p∧r	p∨~q	(p∧r)→(p∨~q)
T	T	T	F	T	T	T
T	T	F	F	F	T	T
T	F	T	T	T	T	T
T	F	F	T	F	T	T
F	T	T	F	F	F	T
F	T	F	F	F	F	T
F	F	T	T	F	T	T
F	F	F	T	F	T	T