Its a Discrete Math question Im not sure how to answer Find

It\'s a Discrete Math question I\'m not sure how to answer.

Find a solution in domain Z (all integers), if possible.

x = 1 mod 2, x = 2 mod 5, x = 3 mod 7, x = 4 mod 8

If there is no solution, explain why.

Solution

x = 1 mod 2, x = 2 mod 5, x = 3 mod 7, x = 4 mod 8