**Exercises on Disjunctions**

*State the truth value of the following statements.*

**1. If p is true and q is false, state the truth for:**

~ p V q

2. If p is false and q is true, state the truth for:

p V ~ q

3. If p is true and q is false, state the truth for:

~ p V ~ q

4. If p is false and q is true, state the truth for:

p V q

5. If p is false and q is true, state the truth for:

~ p V q

6. If p is false and q is false, state the truth for:

p V q

7. If p is true and q is false, state the truth for:

~(~ p V ~ q )

8. If p is true and q is true, state the truth for:

p V q

9. If p is true and q is true, state the truth for:

~ p V q

10. If p is false and q is true, state the truth for:

~ p V ~ q

11. If p is true and q is false, state the truth for:

~( p V q )

12. If p is false and q is true, state the truth for:

~(~ p V ~ q )

13. If p is true and q is false, state the truth for:

p V ~ q

14. If p is false and q is false, state the truth for:

~ p V q

15. If p is false and q is false, state the truth for:

~(~ p V ~ q )

16. If p is false and q is false, state the truth for:

p V ~ q

17. If p is true and q is true, state the truth for:

~(~ p V ~ q )

18. If p is false and q is true, state the truth for:

~(~ p V q )

19. If p is true and q is true, state the truth for:

~( p V ~ q )

20. If p is true and q is true, state the truth for:

p V ~ q

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