Question: 1. Suppose that a E 17 mod n and c E d mod n. Prove that a+c5 b+dmodn. We asserted this in class, but only

1. Suppose that a E 17 mod n and c E d mod n. Prove that a+c5 b+dmodn. We asserted this in class, but only proved the corresponding statement for multiplication. We write Z / n to mean the equivalence classes for congruence modn. In class we saw that, for instance, Z / 5 has ve elements in it. We also saw how to define arithmetic operations (+, -) on these equivalence classes

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