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Which of the following is true?

Select ALL that apply.

The $\mathbb{Z}$-module $\mathbb{Z}/17\mathbb{Z}$ is simple.

The $\mathbb{Z}$-module $\mathbb{Z}/34\mathbb{Z}$ is simple.

The $\mathbb{Z}$-module $\mathbb{Z}$ is simple.

Every cyclic $\mathbb{Z}$-module is simple.

No cyclic $\mathbb{Z}$-submodule of $\mathbb{Z}$ is simple.