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Exercises on Conjunctions
State the truth value of the following statements.
1. If p is false and q is false, state the truth for:
~ p ^ q
2. If p is true and q is true, state the truth for:
~ p ^ ~ q
3. If p is false and q is false, state the truth for:
p ^ ~ q
4. If p is true and q is true, state the truth for:
p ^ q
5. If p is true and q is false, state the truth for:
~ p ^ q
6. If p is false and q is false, state the truth for:
p ^ q
7. If p is true and q is false, state the truth for:
~( p ^ q )
8. If p is true and q is false, state the truth for:
p ^ ~ q
9. If p is true and q is false, state the truth for:
~(~ p ^ q )
10. If p is false and q is true, state the truth for:
p ^ ~ q
11. If p is true and q is true, state the truth for:
~(~ p ^ q )
12. If p is false and q is true, state the truth for:
~ p ^ ~ q
13. If p is true and q is true, state the truth for:
~(~ p ^ ~ q )
14. If p is true and q is true, state the truth for:
~( p ^ q )
15. If p is false and q is true, state the truth for:
~( p ^ ~ q )
16. If p is false and q is true, state the truth for:
~ p ^ q
17. If p is true and q is false, state the truth for:
~( p ^ ~ q )
18. If p is true and q is true, state the truth for:
~ p ^ q
19. If p is true and q is true, state the truth for:
~( p ^ ~ q )
20. If p is true and q is false, state the truth for:
~ p ^ ~ q
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