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 3 years ago
Form the contrapositive: If I do not wash my clothes, then I will have nothing clean to wear.
If I have nothing clean to wear, then I did not wash my clothes.
If I do not wash my clothes, then I will have something clean to wear.
If I wash my clothes, then I will have something clean to wear.
If I have something clean to wear, then I washed my clothes.
If I have something clean to wear, then I did not wash my clothes.
 3 years ago
Form the contrapositive: If I do not wash my clothes, then I will have nothing clean to wear. If I have nothing clean to wear, then I did not wash my clothes. If I do not wash my clothes, then I will have something clean to wear. If I wash my clothes, then I will have something clean to wear. If I have something clean to wear, then I washed my clothes. If I have something clean to wear, then I did not wash my clothes.

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keebler01
 3 years ago
Best ResponseYou've already chosen the best response.0if i was wash my clothes, then i will have something clean to wear.

polpak
 3 years ago
Best ResponseYou've already chosen the best response.0First identify your p and your q

Alchemista
 3 years ago
Best ResponseYou've already chosen the best response.2I discussed this before. However, I will talk about it again.

Alchemista
 3 years ago
Best ResponseYou've already chosen the best response.2The contrapositive of \(p \implies q\) is \(\neg q \implies \neg p\)

Alchemista
 3 years ago
Best ResponseYou've already chosen the best response.2You can make sense of this intuitively, or by following the rules of modus ponens to prove it rigorously.

Alchemista
 3 years ago
Best ResponseYou've already chosen the best response.2We will start by identifying the statements \[p = \text{ "I washed some clothes"} \]\[q = \text{ "I have something clean to wear"}\] We have \( \neg p \implies \neg q\) therefore the contrapositive is \(q \implies p\)

polpak
 3 years ago
Best ResponseYou've already chosen the best response.0\[p: \text{I have nothing to wear}\]\[q:\text{I did not wash my clothes}\] You have an implication of the form: \[p\implies q\] The contrapositive is: \[\lnot q \implies \lnot p\] So first what is \(\lnot q\)? "I washed my clothes" What is \(\lnot p\) "I have something to wear" So the contrapositive of the original would be : If I washed my clothes, then I have something to wear

polpak
 3 years ago
Best ResponseYou've already chosen the best response.0Or you can start with negated forms and swap them as Alchemista did.

Alchemista
 3 years ago
Best ResponseYou've already chosen the best response.2Polpak your answer is wrong.

Alchemista
 3 years ago
Best ResponseYou've already chosen the best response.2If I have something to wear, then I washed my clothes.

polpak
 3 years ago
Best ResponseYou've already chosen the best response.0Oh, bother. I read the wrong statement as the original because of how it's formatted. "If I have nothing clean to wear, then I did not wash my clothes." I thought that was the original implication.

Alchemista
 3 years ago
Best ResponseYou've already chosen the best response.2Might be a good idea to remove the answer, so as not to confuse the original poster.

keebler01
 3 years ago
Best ResponseYou've already chosen the best response.0ok i think mine sounds right!

polpak
 3 years ago
Best ResponseYou've already chosen the best response.0Well operating from the premise I gave, I'm correct. But my correct answer is not the answer to the original poster's question.

Alchemista
 3 years ago
Best ResponseYou've already chosen the best response.2Keebler01, the correct answer is "If I have something clean to wear, then I washed my clothes."

polpak
 3 years ago
Best ResponseYou've already chosen the best response.0No. Your answer and Alchemista's are different.
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