# Use truth tables to determine if the argument forms are valid: p → r q → r hence, p V q → r

## Truth Table for: p → r q → r hence, p V q → r

p | q | r | p V q | p → r | q → r | (p V q) → r |
---|---|---|---|---|---|---|

T | T | T | T | T | T | T |

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

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

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

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

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

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

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

Since for all the critical rows when the premises are true the corresponding conclusion is also true. Hence the argument form is valid.