al) (p = q) = (-p V9)
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Determine if the statement is a self-contradiction, an implication, a tautology or none of these 1. p q 2. p → (qVp) 3. (p V9) 1-4 4. (qap) - (p19) 5. -pv-p-+~) Given p is true, q is true, and ris false, find the truth value of the statement. 6. ~q - (p Vr) 7. (~p1q) + ~r 8. ~q Alp A~r) 9. (9 Vr) (p Aq) 10. (~p ~9) (p = ~r) Use De Morgan's laws or a truth table to determine whether the two statements are equivalent. Answer yes or no 11. ~(p Aq) 12. ~(p Vq) 13. ~(p Aq) 14. PV ~p ~ ~p 1~q ~pVq --p1a) Given p is true, is false, r is false. Find the truth value of the compound statement 15. ~(~21~q) v (~r V~p) 16. q V~r 17. ~(qVr) 18. ~[-p 1(-9 V p)] Convert the compound statement into words. 19. P = “The food tastes delicious” q = "We eat a lot” r = "Nobody has dessert" ~qv (p Ar) 20. P = “At most, 100 guests arrived at the wedding reception. q = “There was a lot of cake left over. (pa)