#### 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

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 Science (Computer Science), HSC Science (General) , HSC Arts, HSC Science (Electronics)