Introduction to Logic

Truth-Tables III

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

1.
 C D E (C v D) ~E (C v D) ~E T T T F F Answer T T T F T T T T F T T F F F F T T T Answer T F T T T F F F T F T T T F F T F F F F F F T F Answer F

2.
 P Q R Q v R ~(Q v R) P v (Q v R) T T T T F T T F T F T Answer T T T T F T Answer F T F F T T Answer F F T T T F F F T F T F F F F T T F F F F F F T F

3.
 C D E (C v D) ~E (C v D) ~E T T T F F Answer T T T T T T Answer F T F T F F Answer T T F F T T T F T T T F F F T F T T T F F T F F F F F F F T F

4.

 C D E (C v D) ~E (C v D) ~E T T T F F Answer T T T F T T Answer T T F T F F Answer T T F F T T Answer T F T T T F F F T F T T T F F T F F F F F F F T F

5.
 P Q R Q v R ~(Q v R) P v (Q v R) T T T T F T T T F T F T T F T F T Answer T T F F T T Answer F F T T F F Answer T F T F T F F F F T T F F F F F F T F

6.
 C D E (C v D) ~E (C v D) ~E T T T T F F T T F T T T T F T T F F T F F T T T F T T T F F F T F T T Answer T F F T F F Answer F F F F T F Answer F

7.

 C D E (C v D) ~E (C v D) ~E T T T T F Answer F T T F T T Answer T T F T T F Answer F T F F T T Answer T F T T T F F F T F T T T F F T F F F F F F F T F

8.
 P Q R Q v R ~(Q v R) P v (Q v R) T T T T T Answer F T T F T T Answer F T F T T T Answer F T F F F T Answer T F T T T F Answer F F T F T F F F F T T F F F F F F T F

9.
 C D E (C v D) ~E (C v D) ~E T T T T F Answer F T T F T T Answer T T F T T F Answer F T F F T T Answer T F T T T F F F T F T T T F F T F F F F F F F T F

10.
 C D E (C v D) ~E (C v D) ~E T T T T F Answer F T T F T T Answer T T F T T F Answer F T F F T T Answer T F T T T F Answer F F T F T T Answer T F F T F F Answer F F F F F T Answer F

11.
 P Q R Q v R ~(Q v R) P v (Q v R) T T T T F Answer T T T F T F Answer T T F T T F Answer T T F F F T Answer T F T T T F Answer F F T F T F Answer F F F T T F Answer F F F F F T Answer T

12.
 C D E (C v D) ~E (C v D) ~E T T T T F F T T F T T T T F T T F F T F F T T T F T T T F Answer F F T F T T Answer T F F T F F Answer F F F F F T Answer F

13.
 C D E (C v D) ~E (C v D) ~E T T T T F F T T F T T T T F T T F F T F F T T T F T T F F Answer T F T F T T Answer T F F T F F Answer F F F F T F Answer F

14.
 P Q R Q v R ~(Q v R) P v (Q v R) T T T F T Answer T T T F F T Answer T T F T F T Answer T T F F T T Answer F F T T F F Answer T F T F T F F F F T T F F F F F T F Answer F

15.
 C D E (C v D) ~E (C v D) ~E T T T T F Answer F T T F T T Answer T T F T T F Answer F T F F T T Answer T F T T T F Answer F F T F T T Answer T F F T F F Answer F F F F F T Answer F