Section Two: Create truth tables for the following statements. 7. P q 8. (p . q)or (p q) 9. ~ (pvr) (p V r)Section Three: Determine the truth value of the following, given A is true, B is true and C is false. Highlight the final answer. 10. A v ( B . C) A V (B C 11. (A V C) = B (A V C) E B Sensitivity 12. ( A . ~B) . ~(A v C) (A . B) (A V C) 13. A 5 ~B A C N BSection Four: Translate the following statements into symbolic form, then determine the truth value. Highlight the nal answer. 14. The schools will reopen only if the teachers are given a vaccine. (5, T--assume both statements are true) 15. If Lebron James plays in the all Star game, then he will be the captain of his team, and he will also be the MVP. (P, C, MJthe first and second are true and the third is false} 16. If Ted Cruz leaves Texas in an emergency and he blames his daughters, then he will not win reelection. (L, B, W) {first two are true, the third is false) Section Five: Create truth tables to determine if the following symbolized statements are tautologous, self- contradictory, or contingent. Show your work. 17. ( W V Y ) V ( ~ W =Y) A. Tautologous B. Self-contradictory C. Contingent (W V Y ) V ( ~ W Y) Sensitivity 18. (A . B) = ( ~AV ~B) A. Tautologous B. Self-contradictory C. Contingent A B) E A V N B)Section Six: Determine if the following two propositions are logically equivalent by constructing and examining truth tables for both statements. 19. Judith and Kerry are heros (J, K) lfJudith is a hero, then Kerry is a hero A. Logically equivalent B. Not logically equivalent 20. Mark or Jason will lead the class (M, J) If Mark does not lead the class, then Jason will. Sensitivity A. Logically equivalent B. Not logically equivalent Section Seven: Determine if the Following statements are consistent or inconsistent. Use truth tables. Show your work. A. Consistent B. Not Consistent 22. If the band comes to town, then I'll buy tickets. If I don't buyr tickets, then the band is not coming to town. {C, T} A. Consistent B. Inconsistent BONUS (up to five points}: Translate the following: People wear masks in public if they plan to rob a bank, or they wear masks ifthere is both a pandemic and a desire to reduce the spread of the contagion. W = People wear masks in public R = People rob banks P = There is a pandemic D = People desire to reduce the spread of the contagion Section One: Translate the following statements into symbolic form using the letters provided. Show all your work for credit. 1. The pope will visit Iraq if and only if the bishops oppose the use of the Johnson and Johnson vaccine. (P, B] 2. Judge Judy and Mitt Romney are retiring. (J, M) 3. The Covid-19 relief plan will pass the senate if the minimum wage is not included in the package. (C, M) 4. If Biden manages the vaccine distribution well, then America will reach herd immunity by the fall (B, A) 5. John and Charmin will go to the party, or Izabel will go to the dance (J, C, I} 6. Either Fred will join the ACLU and Kim will join Common Ca use, or Drake will join Black Lives Matter. (F, K, D)