# Write truth table for the statement forms: ~(p ^ q) V (p V q)

## Solution - Truth Table for: ~(p ^ q) V (p V q)

p | q | p ^ q | p V q | ~(p ^ q) | ~(p ^ q) V (p V q) |
---|---|---|---|---|---|

T | T | T | T | F | T |

T | F | F | T | T | T |

F | T | F | T | T | T |

F | F | F | F | T | T |

p | q | p ^ q | p V q | ~(p ^ q) | ~(p ^ q) V (p V q) |
---|---|---|---|---|---|

T | T | T | T | F | T |

T | F | F | T | T | T |

F | T | F | T | T | T |

F | F | F | F | T | T |

- Determine which of the following pair of statement are logically equivalent: (r V p) ^ ( ( ~r V (p^q) ) ^ (r V q) ) and p ^ q
- Construct the truth table for the statements: (pVq) V (~p^q) → q

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