Solve the given equation or indicate that there is no solution (a) For which values of a does x a 0 have a solution in Z 5 (b) For which values of a and b does x a b have a solution in Z 6 (c) For which values of a, b, and m does x a b have a solution in Z m

Question: Solve the given equation or indicate that there is no solution. (a) For which values of a does x + a = 0 have a

Solve the given equation or indicate that there is no solution.

(a) For which values of a does x + a = 0 have a solution in Z₅?
(b) For which values of a and b does x + a = b have a solution in Z₆?
(c) For which values of a, b, and m does x + a = b have a solution in Z_m?

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