If A, then B is equivalent to If not B, then not A

Not (A and B) is equivalent to not A OR not B

Not (A or B) is equivalent to not A AND not B

Can you give an equivalent statement to
1. If an Iowa farmer does not grow corn or beans, then he grows alfalfa.

2. It is not true that both Baghdad and Iraq are countries.

3. If my nephew is playing BB tonight, then I am going to the game.

4. If it is cold in Iowa, then I turn up the thermostat.

5. If I crack black walnuts for the bird feeder, then many birds come back often to feed.

6. If the sun does not shine, then Jane does not draw the blinds shut.

7. Either Bob is not sick or Bob is not coughing.

8. It is not true that Alice can run fast and jump high.

9. It is not true that Scott is old or that Scott is thin.

10. If Alan lives in Raleigh, then he does not live in Iowa.

11. If I do not work hard, then I do not succeed.

12. If an argument has flaws, then it is not valid.

Certainly! Here are the equivalent statements for each of the given statements:

1. If an Iowa farmer does not grow corn or beans, then he grows alfalfa.
- Equivalent Statement: If an Iowa farmer does not grow alfalfa, then he grows corn or beans.

2. It is not true that both Baghdad and Iraq are countries.
- Equivalent Statement: Baghdad and Iraq are either not both countries or not both non-countries.

3. If my nephew is playing BB tonight, then I am going to the game.
- Equivalent Statement: If I am not going to the game, then my nephew is not playing BB tonight.

4. If it is cold in Iowa, then I turn up the thermostat.
- Equivalent Statement: If I do not turn up the thermostat, then it is not cold in Iowa.

5. If I crack black walnuts for the bird feeder, then many birds come back often to feed.
- Equivalent Statement: If many birds do not come back often to feed, then I do not crack black walnuts for the bird feeder.

6. If the sun does not shine, then Jane does not draw the blinds shut.
- Equivalent Statement: If Jane draws the blinds shut, then the sun shines.

7. Either Bob is not sick or Bob is not coughing.
- Equivalent Statement: If Bob is sick, then Bob is not coughing.

8. It is not true that Alice can run fast and jump high.
- Equivalent Statement: Alice cannot both run fast and jump high.

9. It is not true that Scott is old or that Scott is thin.
- Equivalent Statement: Scott is neither old nor thin.

10. If Alan lives in Raleigh, then he does not live in Iowa.
- Equivalent Statement: If Alan lives in Iowa, then he does not live in Raleigh.

11. If I do not work hard, then I do not succeed.
- Equivalent Statement: If I succeed, then I work hard.

12. If an argument has flaws, then it is not valid.
- Equivalent Statement: If an argument is valid, then it does not have flaws.