Maharashtra State BoardHSC Arts 12th Board Exam
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Construct the truth table of the following: [(∼p ∨ q) ∧ (q → r)] → (p → r) - Mathematics and Statistics

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Sum

Construct the truth table of the following:

[(∼p ∨ q) ∧ (q → r)] → (p → r)

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Solution

p q r ∼p ∼p ∨ q q→r (∼p∨q) ∧ (q→r) p→r [(∼p∨q) ∧ (q→r)] → (p→r)
T T T F T T T T T
T T F F T F F F T
T F T F F T F T T
T F F F F T F F T
F T T T T T T T T
F T F T T F F T T
F F T T T T T T T
F F F T T T T T T
Concept: Logical Connective, Simple and Compound Statements
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APPEARS IN

Balbharati Mathematics and Statistics 1 (Arts and Science) 12th Standard HSC Maharashtra State Board
Chapter 1 Mathematical Logic
Miscellaneous Exercise 1 | Q 6.5 | Page 33
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