Introduction to Logic

Truth-Tables IV

Please fill in the missing truth-values in each of the following truth tables:

1.
 p q ~p ~q ~p ~q ~p v q ~ (p v q) T F F F T F Answer T T F T F T F Answer F F T T F F T F F T T T F T Answer F

2.
 p q r p v r p (q v r) p q (p q) v r T T T T T T Answer T T F T T T T Answer T T T T T F T Answer F T F F F F F Answer F F T T T F F T F T F T F F F F F T T F F T F F F F F F F

3.
 p q ~p q v p ~ p v (q v p) T F T T Answer T F F T T Answer T T T T T Answer F F T F T Answer F

4.

 p q ~p ~q ~p ~q ~p v q ~ (p v q) T T F F T F Answer F T F F F T F Answer T F T F T F 1. Answer T 2. Answer F F F T T F T Answer T

5.
 p q r p v r p (q v r) p q (p q) v r T T T T T T Answer T T T T T T T Answer F T F T T F T Answer T T F F F F F Answer F F T T T F F T F T F T F F F F F T T F F T F F F F F F F

6.
 p q ~p q v p ~ p v (q v p) T F T T Answer T T F T T Answer F F T T T Answer T F T F T Answer F

7.

 p q ~p ~q ~p ~q ~p v q ~ (p v q) T T F F F 1. Answer F 2. Answer T T F F T T F Answer F F T T F F T F F F T T T 1. Answer T 2. Answer F

8.
 p q r p v r p (q v r) p q (p q) v r T T T T T T T T T F T T T T T F T T F T Answer T T F F F F F Answer F F T T F F T Answer T F T F T F F F F F T T F F T F F F F F F F

9.
 p q ~p q v p ~ p v (q v p) T T T T Answer F T F T T Answer F F T T T Answer T F F T F T

10.
 p q ~p ~q ~p ~q ~p v q ~ (p v q) T T F F F T F T F F T F F Answer T F T T F F F Answer T F F T T T F T

11.
 p q r p v r p (q v r) p q (p q) v r T T T T T T T T T F T T T T T F T T F T Answer T T F F F F F Answer F F T T T F T Answer F F T F T F F Answer F F F T T F F T F F F F F F F

12.
 p q ~p q v p ~ p v (q v p) T T F T Answer T T F F T Answer T F T T T Answer T F F T F T

13.
 p q ~p ~q ~p ~q ~p v q ~ (p v q) T T F F T F Answer F T F F T T F Answer F F T T F T F Answer F F F T T F T Answer T

14.
 p q r p v r p (q v r) p q (p q) v r T T T T T T Answer T T T F T T T Answer T T F T T T T Answer F T F F F F F Answer F F T T T F T Answer F F T F T F F F F F T T F F T F F F F F F F

15.
 p q ~p q v p ~ p v (q v p) T T F T T T F F T Answer T F T T T Answer T F F T T Answer F

16.

 p q ~p ~q ~p ~q ~p v q ~ (p v q) T T F F F T Answer F T F F T F T Answer F F T T F F T Answer F F F T T T F Answer T

17.

 p q r p v r p (q v r) p q (p q) v r T T T T T T Answer T T T F T T T Answer T T F T T T F Answer T T F F F F F Answer F F T T T F F Answer T F T F T F F Answer F F F T T F F T F F F F F F F

18.

 p q ~p q v p ~ p v (q v p) T T F T Answer T T F F T Answer T F T T T Answer T F F T F Answer T