Assignment:
Let I be the set of all integers and let m be a fixed positive integer. Two integers a and b are said to be congruent modulo m - symbolized by a - b (mod-m)- if a- b is exactly divisible by m , i.e., if a - b is an integral multiple of m. Show that this is an equivalence relation , describe the equivalence set, and state the number of distinct equivalence sets.
Provide complete and step by step solution for the question and show calculations and use formulas.