generic · 12th TN - English Medium · MATHEMATICS-VOLUME 2 · Page 243example

Logical Connectives and their Truth Tables

Chapter 9: Chapter 12 · MATHEMATICS-VOLUME 2 · EN medium

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Logical Connectives and their Truth Tables ( ) Truth Table for NOT [ ¬ ] (Negation) Truth Table for ¬ p ¬ p Table . ( ) Truth table for AND [ ∧∧ ] (Conjunction) Truth Table for p Ù ∧∧ Table . ( ) The truth tables for OR [ ∨∨ ] (Disjunction) Truth Table for p ∨∨ ∨∨ Table . Example . Write the statements in words corresponding to ¬ p, p , p and q ∨ ¬ p, where p is ‘It is cold’ and q is ‘It is raining.’ ( ) ¬ p : It is not cold. ( ) p : It is cold and raining. ( ) p : It is cold or raining. ( ) q ∨ ¬ p : It is raining or it is not cold Observe that the statement formula  p has only variable p and its truth table has

📖 Class 12 Mathematics English Volume 2 2025 Edition www.tntextbooks.in · Page 243

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Logical Connectives and their Truth Tables ( ) Truth Table for NOT [ ¬ ] (Negation) Truth Table for ¬ p ¬ p Table . ( ) Truth table for AND [ ∧∧ ] (Conjunction) Truth Table for p Ù ∧∧ Table . ( ) The truth tables for OR [ ∨∨ ] (Disjunction) Truth Table for p ∨∨ ∨∨ Table . Example .

Write the statements in words corresponding to ¬ p, p , p and q ∨ ¬ p, where p is ‘It is cold’ and q is ‘It is raining.’ ( ) ¬ p : It is not cold. ( ) p : It is cold and raining. ( ) p : It is cold or raining. ( ) q ∨ ¬ p : It is raining or it is not cold Observe that the statement formula  p has only variable p and its truth table has

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