Question: This is on equations and algebra in finite structures. Consider ?? = {0,1,2,3,4,5}. Part B. Denote by x5 the operation multiplication modulo 6 where a

This is on equations and algebra in finite structures.

Consider ?? = {0,1,2,3,4,5}.

Part B. Denote by x5 the operation \"multiplication modulo 6\" where a x6 .5 is the remainder when a x b is divided by 6. 1. Construct the Operation table for x5 on the set Z5. 2. What is the identity element of 26 under x5? 3. Determine the inverse of each element of Z6 with respect to x5. thuh-WM'O Part C. Identify the solution to the following equations in 25. Provide a justification for your answers. 1.(4 X5X)+52= 1 2.(3 X5X)+54= 1

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