7400220171

Submitted by michaela.bailova on Fri, 11/29/2024 - 23:40
Question: 
Let A, B, and C represent statements, and let p(A), p(B), and p(C) be their truth values. Find all compound statements that are false (i.e., have a truth value of 0) for the given truth values of A, B, and C.
Project ID: 
7400220171
SubArea: 
Logic and sets
Answer 1: 
p(A)=1, p(B)=0,¬A⇒B
Answer 1 Correct: 
0
Answer 2: 
p(A)=0, p(B)=1,¬A⇒¬B
Answer 2 Correct: 
1
Answer 3: 
p(A)=1, p(B)=0, p(C)=1,(A⇔C)∨B
Answer 3 Correct: 
0
Answer 4: 
p(A)=0, p(B)=0, p(C)=0,(¬A∧¬B)⇒C
Answer 4 Correct: 
1
Answer 5: 
p(A)=1, p(B)=1,¬A⇔B
Answer 5 Correct: 
1
Answer 6: 
p(A)=1, p(B)=1, p(C)=1,(¬A∧C)⇔B
Answer 6 Correct: 
1
Answer 7: 
p(A)=1, p(B)=0, p(C)=0,(A∨C)∧B
Answer 7 Correct: 
1
Answer 8: 

p(A)=0, p(B)=1, p(C)=1,(A∨B)∨(A∨C)

Answer 8 Correct: 
0