Write the negation of each of the following with a positive

Write the negation of each of the following with a positive statement (in English):

1. Some farmer grows only corn.

2. Some farmer does not grow corn.

3. Corn is grown only by farmers.

Solution

1) The negation of the first statement will be

\"No Farmers grow only corn\", since according to the statement, some farmer grows only corn, hence in positive sense there exists no farmer that is dependent only on corn

2) Not all farmers grow corn

There are some farmers that doesn\'t grow corn wil be the negation statement as written above

3) Cron can be grown by non-farmers

since it is not essential to be a farmer in order to grow corn, hence the corn can be grown by non-farmers as well