Write the negations (in English) of the following statements: (Hint: represent and if” as conditionals and then write the negation) “unless” “only If the book is expensive I will not buy it. The book was expensive, but I bought it You will not pass the exam unless you attend class Equivalent conditional: If you don’t attend classes you will not pass the exam Negation: You didn’t attend classes but you passed the exam You will be promoted only if Jones retires. Equivalent conditional: If Jones does not retire, you will not be promoted Negation: Jones didn’t retire but you were promoted Write in English the contrapositive, converse, inverse and the negations of the following statements: If Tom solved the problem correctly, then he obtained the answer 2. Contrapositive: If Tom didn’t obtained the answer 2, he didn’t solve the problem correctly Converse: If Tom obtained the answer 2, he solved the problem correctly Inverse: If Tom didn’t solve the problem correctly, then he didn’t obtain the answer 2 Negation: Tom solved the problem correctly, but he didn’t obtained the answer 2
Write the negations (in English) of the following statements: (Hint: represent “unless” and “only if” as conditionals and then write the negation) If the book is expensive I will not buy it. The book was expensive, but I bought it You will not pass the exam unless you attend class Equivalent conditional: If you don’t attend classes you will not pass the exam Negation: You didn’t attend classes but you passed the exam You will be promoted only if Jones retires. Equivalent conditional: If Jones does not retire, you will not be promoted Negation: Jones didn’t retire but you were promoted Write in English the contrapositive, converse, inverse and the negations of the following statements: If Tom solved the problem correctly, then he obtained the answer 2. Contrapositive: If Tom didn’t obtained the answer 2, he didn’t solve the problem correctly Converse: If Tom obtained the answer 2, he solved the problem correctly Inverse: If Tom didn’t solve the problem correctly, then he didn’t obtain the answer 2 Negation: Tom solved the problem correctly, but he didn’t obtained the answer 2