Determine whether each of the following compound propositions is satisfiable. Justify your answer. a. (? ↔...
Determine whether each of the following compound propositions is satisfiable. Justify your answer.
a. (? ↔ ?) ∧ (? ↔ ¬?)
b. (? ∨ ?) ∧ (¬? ∨ ?) ∧ (? ∨ ¬?)
c. (? → ?) ∧ (¬? → ?) ∧ (? → ¬?) ∧ (¬? → ¬?)
d. (? ∨ ?) ∧ (¬? ∨ ?) ∧ (¬? ∨¬?) ∧ (¬? ∨ ?) ∧ (? ∨ ¬?)
Homework Answers
a. 
Answer:
Compound propositions unsatisfiable.
Justification:
since there is no combination of p and q for which its value is true.
b.
Answer:
Compound propositions is satisfiable.
Justification:
The compound proposition is true when both p and q are True. we have atleast one combination of p and q for which proposition is true.Therefore the compound proposition is satisfiable.
c.
Answer:
Compound propositions is unsatisfiable.
Justification:
since there is no combination of p and q for which its value is true.
d.
Answer:
Compound propositions is satisfiable.
Justification:
The compound proposition is true when p=false, q=true, r=true.we have atleast one combination of p ,q and r for which proposition is true. Therefore the compound proposition is satisfiable.
Add Answer to:
Determine whether each of the following compound propositions is
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