Question: Analyze and answer the following problems. Write your complete solution and box your final answer. A. Determine whether the congruence is TRUE or FALSE. PROVE

Analyze and answer the following problems. Write your complete solution and box your final answer. A. Determine whether the congruence is TRUE or FALSE. PROVE your answer. 1. 58 mod 3 2. 25 8 mod 12 3. 10020 mod 8 B. Perform the Modular arithmetic. 1. (9 15) mod 7 2. (25-10) mod 4 3. (512) mod 4 C. Find the additive inverse and multiplicative inverse, if it exists, of the given number. 1. 4 in modulo 9 arithmetic 2. 7 in modulo 10 arithmetic 3. 11 in modulo 16 arithmetic D. A purchase order for the book The Mathematical Tourist by Ivars Peterson includes the ISBN 978-0716-73250-5. Determine whether this is a valid ISBN, E. Decrypt the message ZADTPLRWNBLAVBVU with keyword REVIEW. (you can use any method)

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