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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.
 2 years ago
 2 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.
 2 years ago
 2 years ago

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keebler01Best ResponseYou've already chosen the best response.0
if i was wash my clothes, then i will have something clean to wear.
 2 years ago

polpakBest ResponseYou've already chosen the best response.0
First identify your p and your q
 2 years ago

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

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

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

AlchemistaBest ResponseYou've already chosen the best response.2
We 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 \(q \implies p\)
 2 years ago

polpakBest 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
 2 years ago

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

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

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

polpakBest ResponseYou've already chosen the best response.0
Oh, 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.
 2 years ago

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

keebler01Best ResponseYou've already chosen the best response.0
ok i think mine sounds right!
 2 years ago

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

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

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