CSC 230 HW 1 pg 5

3. Are the following two statements logically equivalent? Justify your answer. a. A real number is less than 1 only if its reciprocal is greater than 1. b. Having a reciprocal greater than 1 is a suficient condition for a real number to be less than 1 4. Is the following argument valid or invalid? Justify your answer All real numbers have nonnegative squares. The number i has a negative square. Therefore, the number i is not a real number 5. Is the following argument valid or invalid? Justify your answer. All prime numbers greater than 2 are odd. The number a is not prime. Therefore, the number a is not odd