SOLUTION: Form the contrpositive: If I do not wash my clothes, then I will have nothing clean to wear. a) If I have nothing clean to wear, I did not wash my clothes. b) If I do not wash

Algebra ->  Conjunction -> SOLUTION: Form the contrpositive: If I do not wash my clothes, then I will have nothing clean to wear. a) If I have nothing clean to wear, I did not wash my clothes. b) If I do not wash      Log On


   



Question 261207: Form the contrpositive: If I do not wash my clothes, then I will have nothing clean to wear.
a) If I have nothing clean to wear, I did not wash my clothes.
b) If I do not wash my clothes, then I will have something clean to wear
c) If i wash my clothes, then I will have something clean to wear.
d) If I have something clean to wear, I washed my clothes.
e) If I have something clean to wear, I did not wash my clothes.
I know b and e doesn't make sense, but the rest all look the same to me.

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Just follow the pattern for creating a contrapositive:

Take the opposite of the conclusion and make that the new premise. The original conclusion is "I will have nothing clean to wear" The opposite of that is "I have something clean to wear" and now the premise of the contrapositive is:

If I have something clean to wear.

Take the opposite of the original premise and make that the new conclusion. The original premise: "If I do not wash my clothes..." The opposite: "I washed my clothes."

So the entire contrapositive becomes:

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

Choice d.


John