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***PLEASE SHOW ALL WORK AND COMMANDS FOR HOW TO DO IN SAGE APPLICATION*** Use the construction...

***PLEASE SHOW ALL WORK AND COMMANDS FOR HOW TO DO IN SAGE APPLICATION***

Use the construction in the proof of the Chinese remainder theorem to find all solutions to the system of congruences


x ≡ 1 (mod 2)

x ≡ 2 (mod 3)

x ≡ 3 (mod 5)


x ≡ 4 (mod 11).

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