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Solution - Discuss the statement pattern, using truth table : ~(~p ∧ ~q) v q - Mathematical Logic - Truth Tables of Compound Statements

Question

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

 

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
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APPEARS IN

2014-2015 (March)
Question 2.1.2 | 3 marks
Solution for question: Discuss the statement pattern, using truth table : ~(~p ∧ ~q) v q concept: Mathematical Logic - Truth Tables of Compound Statements. For the courses HSC Arts, HSC Science (Computer Science), HSC Science (Electronics), HSC Science (General)
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