MHB Validating Statement Using Truth Tables: Failed Basket-Weaving 101

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If I study, then I will not fail basket-weaving 101. If I do not play cards to often, then
I will study. I failed basket-weaving 101. Therefore, I played cards too often. Is this
statement valid (use truth tables to verify).
 
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trevor said:
If I study, then I will not fail basket-weaving 101. If I do not play cards to often, then
I will study. I failed basket-weaving 101. Therefore, I played cards too often. Is this
statement valid (use truth tables to verify).

Have you constructed a truth table? Care to share? :). If not, I recommend breaking down all the words into a string of implications. For example, let A be the statement "I study", B be the statement "I failed basket-weaving" etc and use these to help with the truth table.
 
Joppy said:
Have you constructed a truth table? Care to share? :). If not, I recommend breaking down all the words into a string of implications. For example, let A be the statement "I study", B be the statement "I failed basket-weaving" etc and use these to help with the truth table.

Thank you. I will send what I find
 
I would also recommend using mnemonic names for propositions, such as $S$ for "I studied" and $F$ for "I failed basket-weaving".
 

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