# Use truth tables to show that the following forms of argument are invalid:p → q, ~p, hence, ~q (inverse error)

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

p | q | ~p | p → q | ~q |
---|---|---|---|---|

T | T | F | T | F |

T | F | F | F | T |

F | T | T | T | F |

F | F | T | T | T |

Since for the third row when the premises are true and the conclusion is false, hence the given argument is invalid.