Points: 0 of 1 Save a. How can you tell that the set {0, 1,2,3,4,5,6,7} is closed under the Shown in the figure is an 8-hour clock and the table for clock addition in the 8-hour operation of clock addition? clock system. Complete parts (a) through (e) O A. The order of the elements does not matter when applying clock addition to any number of elements in the set. O B. Whenever clock addition is being applied, the elements can be grouped in any order and the answer is unchanged C. Applying the operation of clock addition to any two elements in the set results in a number that is also in the set. O D. The set has an identity element. 0 1 2 3 4 5 6 7 b. Verify the associative property for the following equation 0 0 1 2 3 4 5 6 7 1 1 2 3 4 5 6 7 0 (406)(5 =50(6()4) 2 2 3 4 5 6 0 3 3 4 5 6 7 0 1 2 Both sides of the equation are equal to 7 4 4 5 6 7 0 1 2 3 c. What is the identity element in the 8-hour clock system? 5 5 6 IN N 0 1 3 4 6 6 0 2 4 5 7 7 0 2 3 4 5 6 The identity element is