Exercises 1 through 6 provide a statement, its truth value in parentheses, and an operation to be performed on that statement. Supply the new statement and the truth value of the new statement.

Exercises 7 through 12 provide a statement, its truth value in parentheses, and a new statement. Determine how the new statement was derived from the given statement and supply the truth value of the new statement.

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Truth value Given statement Operation New statement 1. No A are non-B. (T) conv. 2. Some A are B. (T) contrap. 3. All A are non-B. (F) obv. 4. All non-A are B. (F) contrap. 5. Some non-A are not B. (T) conv. 6. Some non-A are non-B. (T) obv. 7. No non-A are non-B. (F) No B are A. 8. Some A are not non-B. (T) Some A are B. 9. All A are non-B. (F) 10. No non-A are B. (F) All non-B are A. All non-A are non-B. 11. Some non-A are not B. (T) Some non-B are not A. 12. Some A are non-B. (F) Some non-B are A.