Question

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.

Answer 1

if i was wash my clothes, then i will have something clean to wear.

Answer 2

First identify your p and your q

Answer 3

I discussed this before. However, I will talk about it again.

Answer 4

The contrapositive of \(p \implies q\) is \(\neg q \implies \neg p\)

Answer 5

You can make sense of this intuitively, or by following the rules of modus ponens to prove it rigorously.

Answer 6

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 \(q \implies p\)

Answer 7

\[p: \text{I have nothing to wear}\]\[q:\text{I did not wash my clothes}\]
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

Answer 8

Or you can start with negated forms and swap them as Alchemista did.

Answer 9

Polpak your answer is wrong.

Answer 10

If I have something to wear, then I washed my clothes.

Answer 11

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.

Answer 12

Might be a good idea to remove the answer, so as not to confuse the original poster.

Answer 13

ok i think mine sounds right!

Answer 14

Well operating from the premise I gave, I'm correct. But my correct answer is not the answer to the original poster's question.

Answer 15

Keebler01, the correct answer is "If I have something clean to wear, then I washed my clothes."

Answer 16

i wasright!!!!

Answer 17

No. Your answer and Alchemista's are different.