For questions 4 and 5, use the following order for the rows in your truth tables. P Q T T T F F T F F P Q R T T T T T F T F T T F F F T T F T F F F T F F F 5. (14 marks) For each of the pairs of statement forms below, use the truth table method to determine if (i) is logically equivalent to (ii). Show the truth tables, state your answers, and explain briefly. (a) (i) Q → (P ∨ R) (ii) ¬P → (Q → R) (b) (i) R → (P ∧ ¬Q) (ii) (R → P) ∧ ¬Q
For questions 4 and 5, use the following order for the rows in your truth tables. P Q T T T F F T F F P Q R T T T T T F T F T T F F F T T F T F F F T F F F 5. (14 marks) For each of the pairs of statement forms below, use the truth table method to determine if (i) is logically equivalent to (ii). Show the truth tables, state your answers, and explain briefly. (a) (i) Q → (P ∨ R) (ii) ¬P → (Q → R) (b) (i) R → (P ∧ ¬Q) (ii) (R → P) ∧ ¬Q
Chapter3: Performing Calculations With Formulas And Functions
Section: Chapter Questions
Problem 3.9CP
Related questions
Question
For questions 4 and 5, use the following order for the rows in your truth tables.
P Q
T T
T F
F T
F F
P Q R
T T T
T T F
T F T
T F F
F T T
F T F
F F T
F F F
5. (14 marks) For each of the pairs of statement forms below, use the truth table
method to determine if (i) is logically equivalent to (ii). Show the truth tables, state
your answers, and explain briefly.
(a) (i) Q → (P ∨ R) (ii) ¬P → (Q → R)
(b) (i) R → (P ∧ ¬Q) (ii) (R → P) ∧ ¬Q
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