Exercises 2.1 Fill in the blanks to rewrite the following statement in different ways. 1. For all real numbers y, if y is equal to 2, then y is equal to 8. a. If a real number is equal to 2, then its cube is b. If a real number y equals 2, c. Ify then d. The cube of any real number that is equal to 2 is e. All real numbers equals 2 have 2. Every bride has a groom. a. All brides b. For all brides B, there c. For all brides 8, there is a groom G such that 3. There is at least one student that has a crush on me in every class in BASC. a. Do there exist that has a crush on me ? b. There is $ that has a crush on me in every class in BASC, c. There is at least one student s in BASC with the property that for every student in a class in BASC, s 4. For all polygon O, if Q is a quadrilateral then Q has four sides a. Every quadrilateral b. All quadrilaterals C. If a polygon has four sides, then d. If Q then Q e. For all quadrilateral Q, 5. Every non-negative real number has a positive cube. a. All non-negative real numbers b. For all non-negative real numbers n, there is for n. c. For all non-negative real numbers , there is a positive cube p such that