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3.2.5: Truth Tables- Conditional, Biconditional
https://math.libretexts.org/Courses/Rio_Hondo/Math_150%3A_Survey_of_Mathematics/03%3A_Logic/3.02%3A_Logic/3.2.05%3A_Truth_Tables-_Conditional_Biconditional
The statement $(m \wedge \sim p) \rightarrow r$ is "if we order meatballs and don't order pasta, then Rob is happy". If $m$ is true (we order meatballs), $p$ is false (we don't order pasta), and...The statement $(m \wedge \sim p) \rightarrow r$ is "if we order meatballs and don't order pasta, then Rob is happy". If $m$ is true (we order meatballs), $p$ is false (we don't order pasta), and $r$ is false (Rob is not happy), then the statement is false, because we satisfied the antecedent but Rob did not satisfy the consequent.
3.3: Truth Tables- Conditional, Biconditional
https://math.libretexts.org/Courses/Las_Positas_College/Math_for_Liberal_Arts/03%3A_Logic/3.03%3A_Truth_Tables-_Conditional_Biconditional
The statement $(m \wedge \sim p) \rightarrow r$ is "if we order meatballs and don't order pasta, then Rob is happy". If $m$ is true (we order meatballs), $p$ is false (we don't order pasta), and...The statement $(m \wedge \sim p) \rightarrow r$ is "if we order meatballs and don't order pasta, then Rob is happy". If $m$ is true (we order meatballs), $p$ is false (we don't order pasta), and $r$ is false (Rob is not happy), then the statement is false, because we satisfied the hypothesis but Rob did not satisfy the conclusion.
5.3: Truth Tables- Conditional, Biconditional
https://math.libretexts.org/Courses/Fullerton_College/Math_100%3A_Liberal_Arts_Math_(Claassen_and_Ikeda)/05%3A_Logic/5.03%3A_Truth_Tables-_Conditional_Biconditional
A conditional is a logical compound statement in which a statement , called the antecedent, implies a statement , called the consequent.
6.3: Truth Tables- Conditional, Biconditional
https://math.libretexts.org/Courses/Chabot_College/Math_in_Society_(Zhang)/06%3A_Logic/6.03%3A_Truth_Tables-_Conditional_Biconditional
The statement $(m \wedge \sim p) \rightarrow r$ is "if we order meatballs and don't order pasta, then Rob is happy". If $m$ is true (we order meatballs), $p$ is false (we don't order pasta), and...The statement $(m \wedge \sim p) \rightarrow r$ is "if we order meatballs and don't order pasta, then Rob is happy". If $m$ is true (we order meatballs), $p$ is false (we don't order pasta), and $r$ is false (Rob is not happy), then the statement is false, because we satisfied the hypothesis but Rob did not satisfy the conclusion.
1.2.2: Truth Tables- Conditional, Biconditional
https://math.libretexts.org/Courses/SUNY_Schenectady_County_Community_College/Professor_Holz'_Topics_in_Contemporary_Mathematics/01%3A_Logic/1.02%3A_Truth_Tables/1.2.02%3A_Truth_Tables-_Conditional_Biconditional
The statement $(m \wedge \sim p) \rightarrow r$ is "if we order meatballs and don't order pasta, then Rob is happy". If $m$ is true (we order meatballs), $p$ is false (we don't order pasta), and...The statement $(m \wedge \sim p) \rightarrow r$ is "if we order meatballs and don't order pasta, then Rob is happy". If $m$ is true (we order meatballs), $p$ is false (we don't order pasta), and $r$ is false (Rob is not happy), then the statement is false, because we satisfied the antecedent but Rob did not satisfy the consequent.
6.2.5: Truth Tables- Conditional, Biconditional
https://math.libretexts.org/Courses/Cosumnes_River_College/Math_300%3A_Mathematical_Ideas_Textbook_(Muranaka)/06%3A_Miscellaneous_Extra_Topics/6.02%3A_Logic/6.2.05%3A_Truth_Tables-_Conditional_Biconditional
The statement $(m \wedge \sim p) \rightarrow r$ is "if we order meatballs and don't order pasta, then Rob is happy". If $m$ is true (we order meatballs), $p$ is false (we don't order pasta), and...The statement $(m \wedge \sim p) \rightarrow r$ is "if we order meatballs and don't order pasta, then Rob is happy". If $m$ is true (we order meatballs), $p$ is false (we don't order pasta), and $r$ is false (Rob is not happy), then the statement is false, because we satisfied the antecedent but Rob did not satisfy the consequent.
5.3: Truth Tables- Conditional, Biconditional
https://math.libretexts.org/Courses/Northwest_Florida_State_College/NWFSC_MGF_1130_Text/05%3A_Logic/5.03%3A_Truth_Tables-_Conditional_Biconditional
The statement $(m \wedge \sim p) \rightarrow r$ is "if we order meatballs and don't order pasta, then Rob is happy". If $m$ is true (we order meatballs), $p$ is false (we don't order pasta), and...The statement $(m \wedge \sim p) \rightarrow r$ is "if we order meatballs and don't order pasta, then Rob is happy". If $m$ is true (we order meatballs), $p$ is false (we don't order pasta), and $r$ is false (Rob is not happy), then the statement is false, because we satisfied the antecedent but Rob did not satisfy the consequent.
5.1.6: Truth Tables- Conditional, Biconditional
https://math.libretexts.org/Courses/American_River_College/Math_300%3A_My_Math_Ideas_Textbook_(Kinoshita)/05%3A_Logic/5.01%3A_Logic/5.1.06%3A_Truth_Tables-_Conditional_Biconditional
The statement $(m \wedge \sim p) \rightarrow r$ is "if we order meatballs and don't order pasta, then Rob is happy". If $m$ is true (we order meatballs), $p$ is false (we don't order pasta), and...The statement $(m \wedge \sim p) \rightarrow r$ is "if we order meatballs and don't order pasta, then Rob is happy". If $m$ is true (we order meatballs), $p$ is false (we don't order pasta), and $r$ is false (Rob is not happy), then the statement is false, because we satisfied the antecedent but Rob did not satisfy the consequent.

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