───✱*.。:。✱*.:。✧*.。✰*.:。✧*.。:。*.。✱ ───

2.6

    • a.[012345913]
    • b.[449524100]
    • a.[121118]
    • b.[219204324]
    • c.[[[98228602105411]]]
    • Let𝐴=[0110]
    • a.𝐴𝐴=[00111100]=[0110]=𝐴
    • b.𝐴𝐴=[00111100]=[0110]=𝐴

1.1

    • a. Proposition → true
    • b. Proposition → false
    • c. Proposition → true
    • d. Proposition → false
    • e. N/A
    • f. N/A
    • a. Linda is not younger than Sanjay
    • b. Mei does not make more money than Isabella
    • c. Moshe is not taller than Monica
    • d. Abby is not richer than Ricardo
    • a. Sharks have not been spotted near the shore
    • b. Swimming at the shore is allowed, and sharks have been spotted near shore
    • c. Swimming at the shore is not allowed, or sharks have been spotted near shore
    • d. If swimming at the shore is allowed, then sharks have not been spotted
    • e. If sharks have not been spotted, then swimming at the shore is allowed
    • f. If swimming at the shore is not allowed, then sharks have not been spotted
    • g. Swimming at the shore is allowed if and only if sharks have not been spotted
    • h. Swimming at the shore is not allowed, and either swimming is allowed or sharks have been spotted
    • a.¬𝑝
    • b.𝑝¬𝑞
    • c.𝑝𝑞
    • d.¬𝑝¬𝑞
    • e.𝑝𝑞
    • f.𝑞¬𝑝
    • g.𝑞𝑝
    • a.21=2
    • b.24=16
    • c.26=64
    • d.24=16
    • a.|𝑝𝑇𝐹¬p𝐹𝑇p ∧ ¬p𝐹𝐹|
    • b.|𝑝𝑇𝐹¬p𝐹𝑇p ∨ ¬p𝑇𝑇|
    • c.||||𝑝𝑇𝑇𝐹𝐹𝑞𝑇𝐹𝑇𝐹?𝑇𝐹𝑇𝐹||||
    • d.||||𝑝𝑇𝑇𝐹𝐹𝑞𝑇𝐹𝑇𝐹?𝑇𝐹𝐹𝑇||||
    • e.||||𝑝𝑇𝑇𝐹𝐹𝑞𝑇𝐹𝑇𝐹?𝑇𝑇𝑇𝑇||||
    • f.||||𝑝𝑇𝑇𝐹𝐹𝑞𝑇𝐹𝑇𝐹?𝑇𝑇𝐹𝑇||||

───✱*.。:。✱*.:。✧*.。✰*.:。✧*.。:。*.。✱ ───