Determine the truth values of the following symbolized statements. Let A, B, and C be true and X, Y, and Z be false. Circle your answer.
Symbolic logic
Translate the following statements into symbolic form using uppercase letters to represent affirmative English statements. Example: Suppose you are given the statement “If Facebook makes us narcissistic, then either Twitter or LinkedIn relieves our loneliness.” This would be translated F ⊃
11.(Bill Gates does not support malaria research unless Warren Buffet does.
12. Mercedes will introduce a hybrid model only if Lexus and BMW do.
13. Mariah Carey sings pop and either Elton John sings rock or Diana Krall sings jazz.
14. Either Mariah Carey sings pop and Elton John sings rock or Diana Krall sings jazz.
\15. Not both Jaguar and Porsche make motorcycles.
16. Both Jaguar and Porsche do not make motorcycles.
17. Either Apple or Samsung makes smartphones.
18. Not either Ferrari or Maserati makes economy cars.
19. Neither Ferrari nor Maserati makes economy cars.
20. Either Ferrari or Maserati does not make economy cars.
Inbox
Determine the truth values of the following symbolized statements. Let A, B, and C be true and X, Y, and Z be false. Circle your answer.
1. A● X ●
2. B ∼Y
3. X¡∼Y
4. ∼C ¡ Z
5. B⊃∼Z
6. Y⊃∼A
7. ∼X⊃Z
8. BKY
9. ∼CKZ
10. ∼(A ∼Z)
11. ∼B¡●(Y⊃A)
12. A⊃∼(Z¡∼Y)
13.(A Y)¡(∼Z C) ●
14. ∼(X¡∼B) (∼Y¡A) ●
●●
15. (Y⊃C) ∼(B⊃∼X)
IV. When possible, determine the truth values of the following symbolized state- ments. Let A and B be true, Y and Z false. P and Q have unknown truth values. If the truth value of the statement cannot be determined, write “undetermined.”
1. A¡P
2. Q¡Z
3. Q● Y
4. Q● A
5. P⊃B
6. Z⊃Q
7. A⊃P
8. PK∼P
9. (P⊃A)⊃Z
10. (P⊃A)K(Q⊃B)
Determine the truth values of the following symbolized statements. Let A, B, and C be true and X, Y, and Z be false. Circle your answer.
1. A● X ●
2. B ∼Y
3. X¡∼Y
4. ∼C ¡ Z
5. B⊃∼Z
6. Y⊃∼A
7. ∼X⊃Z
8. BKY
9. ∼CKZ
10. ∼(A ∼Z)
11. ∼B¡●(Y⊃A)
12. A⊃∼(Z¡∼Y)
13.(A Y)¡(∼Z C) ●
14. ∼(X¡∼B) (∼Y¡A) ●
●●
15. (Y⊃C) ∼(B⊃∼X)