Shown in the figure is a 7-hour clock and the table for
Chapter 5, Problem 50(choose chapter or problem)
Shown in the figure is a 7-hour clock and the table for clock addition in the 7-hour clock system.
a. How can you tell that the set {0, 1, 2, 3, 4, 5, 6} is closed under the operation of clock addition?
b. Verify the associative property:
c.What is the identity element in the 7-hour clock system?
d. Find the inverse of each element in the 7-hour clock system.
e. Verify two cases of the commutative property:
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