Form the contrapositive: If I do not wash my clothes, then I will have nothing clean to wear. (Points : 2) 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.

Question

anonymous · Answer

hi jim...

jim_thompson5910 · Answer

Original statement is "If I do not wash my clothes, then I will have nothing clean to wear."


Flip the statement around and negate EVERYTHING to get 


If I will NOT have nothing clean to wear, then I do not NOT wash my clothes


but wait, this isn't exactly good english. So the above simplifies to


If I have something clean to wear, then I washed my clothes.

jim_thompson5910 · Answer

hey

jim_thompson5910 · Answer

answer looks like it's choice 3, but it's all jumbled together

jim_thompson5910 · Answer

oh wait nvm

anonymous · Answer

When you have something like:$$p\implies q$$ the contrapositive is $$\lnot q \implies \lnot p$$

jim_thompson5910 · Answer

answer is If I have something clean to wear, then I washed my clothes

anonymous · Answer

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.

jim_thompson5910 · Answer

ok thx

it's choice 4

anonymous · Answer

because its opposite of the original statement?

anonymous · Answer

or actually same thing but in different wording.

jim_thompson5910 · Answer

opposite and I flipped the first and second parts

jim_thompson5910 · Answer

p --> q became ~q ---> ~p

anonymous · Answer

The contraposition has the same meaning as the original, just stated in a different way

anonymous · Answer

ok u put the ~ in front of it and flipped original

jim_thompson5910 · Answer

essentially it is the same thing (since the two are equivalent), even though that may be hard to see

jim_thompson5910 · Answer

yes

anonymous · Answer

ok.. that make sense.. thank you.. i was really upset on other posting ... :( thats why i left before i said something

jim_thompson5910 · Answer

that's ok

anonymous · Answer

well i didnt deserve to be told to shut up... i was pretty ticked off...

anonymous · Answer

notice: recently i got to know that some one has misused my info and made an account on openstudy and he was disturbing others with my name. sorry eevry one specially sandii and others . I am not of that nature . I had received an email that he was my friend ( i had gone to his home and he had saved my passwords and username) that is why he has just made and account here . I recently got that the IP the hellohelpme has used is same that of mine . how he did it i don;t know but please pardon me if u all think that i am the doer of this matter
 

sorry

jim_thompson5910 · Answer

yeah that was uncalled for

jim_thompson5910 · Answer

oh i see

jim_thompson5910 · Answer

best to change your password on everything you have

anonymous · Answer

yes but pardon me again

anonymous · Answer

if u not trust on me

anonymous · Answer

i was told he was only 13 and in 8th grade...
and was told to shut up i was ticked off big time and reported

jim_thompson5910 · Answer

hopefully that's the end of that

anonymous · Answer

Kush, just drop it. Thanks.

anonymous · Answer

oh no ! yes jim but my image got to gone . he is not likely to be my friend

anonymous · Answer

its fine...

anonymous · Answer

thanks

anonymous · Answer

thanks

anonymous · Answer

ty Jim for helping me.. :)

jim_thompson5910 · Answer

np glad to help out