“If A and B are true statements and X and Y are false statements, which of the following compound statements are true?”

- F 11. T
- T 12. T
- F 13. T
- T 14. T
- T 15. F
- F 16. T
- F 17. T
- T 18. T
- F 19. F
- F 20. F

“If A and B are true statements and X and Y are false statements, which of the following compound statements are true?”

- F 11. T
- T 12. T
- F 13. T
- T 14. T
- T 15. F
- F 16. T
- F 17. T
- T 18. T
- F 19. F
- F 20. F

Filed under Solution Sets

13. ~{~[~(A*~X)*~A]*~X} = F

~{~[~(T*~F)*~T]*~F}

~{~[~(T*T)*F]*T}

~{~[~(T)*F]*T}

~{~[F*F]*T}

~{~[F]*T}

~{T*T}

~{T} = F

13. ~{~[~(A•~X)•~A]•~X}

NOT {NOT [NOT (true AND NOT false) AND NOT true] AND NOT false}

NOT {NOT [NOT (true AND true) AND NOT true] AND NOT false}

NOT {NOT [NOT (true) AND NOT true] AND NOT false}

NOT {NOT [NOT (true) AND false] AND NOT false}

NOT {NOT [false AND false] AND NOT false}

NOT {NOT [false] AND NOT false}

NOT {true AND NOT false}

NOT {true AND true}

NOT {true}

∴ false

Please correct the 13th answer. It’s false.

Thank you for the solutions!