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Discuss the statement pattern, using truth table : ~(~p ∧ ~q) v q - Mathematics and Statistics

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Sum

Discuss the statement pattern, using truth table : ~(~p ∧ ~q) v q

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Solution

Consider the statement pattern: ∼ (∼ p ∧ ∼ q) ∨ q
Thus the truth table of the given logical statement: ~(~p ∧ ~q) ∨ q

p q ~p ~q ~p∧~q ~(~p ∧ ~q) ~(~p ∧ ~q) ∨ q
T T F F F T T
T F F T F T T
F T T F F T T
F F T T T F F

The above statement is contingency.

Concept: Logical Connective, Simple and Compound Statements
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