SOLUTION: Please help. I have 2 problems that I have never done before. 1. Write the compound statement in symbols. Let r = The food is good, p = I eat too much, q = I'll exercise. I'

Question 478093: Please help. I have 2 problems that I have never done before.
1. Write the compound statement in symbols.
Let r = The food is good, p = I eat too much, q = I'll exercise.
I'll exercise if I don't eat too much.

~p -> q
~p ^ q
~p V q
~(p -> q)

2. Form the converse: If I do not wash my clothes, then I will have nothing clean to wear.
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.
If I have nothing clean to wear, then I did not wash my clothes.
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
Question:
1. Write the compound statement in symbols.
Let r = The food is good, p = I eat too much, q = I'll exercise.
I'll exercise if I don't eat too much.
~p -> q
~p ^ q
~p V q
~(p -> q)
Answer:
change the statement to read:
if i don't eat too much, then i'll exercise
this looks a lot like ~p->q
that would be the first selection above.
Question:
2. Form the converse: If I do not wash my clothes, then I will have nothing clean to wear.
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.
If I have nothing clean to wear, then I did not wash my clothes.
Answer:
if the statement is p->q then the converse is q->p
the statement is "if i don't wash my clothes, then i will have nothing clean to wear".
the converse of that would be "if i have nothing clean to wear, then i did not wash my clothes".
that looks a lot like the last selection.

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