SOLUTION: Would somebody please help me with this? Thank you so much. Form the inverse: If I do not wash my clothes, then I will have nothing clean to wear. 1. If I have nothing cle

Algebra ->  Conjunction -> SOLUTION: Would somebody please help me with this? Thank you so much. Form the inverse: If I do not wash my clothes, then I will have nothing clean to wear. 1. If I have nothing cle      Log On


   



Question 484726: Would somebody please help me with this? Thank you so much.
Form the inverse:
If I do not wash my clothes, then I will have nothing clean to wear.

1. If I have nothing clean to wear, then I did not wash my clothes.
2. If I wash my clothes, then I will have something clean to wear.
3. If I have something clean to wear, then I washed my clothes.
4. If I have something clean to wear, then I did not wash my clothes.
5. If I do not wash my clothes, then I will have something clean to wear.

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
The inverse of p --> q is ~p --> ~q. Likewise, the inverse of ~p --> ~q is p --> q


In this case,

p: I wash my clothes
q: I will have something clean to wear


So

~p: I do not wash my clothes
~q: I will have nothing clean to wear


So the original statement of "If I do not wash my clothes, then I will have nothing clean to wear" translates to ~p --> ~q

Using the rule given above, the inverse of that is p --> q which translates back into "If I wash my clothes, then I will have something clean to wear"


So the answer is choice 2