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Problem 35 (Connecting Multiples And Spans Of Integers)

Suppose that $a$ and $b$ are integers.

  1. Prove that if $a$ is a multiple of $b$, then we must have $\text{span}(a)\subseteq\text{span}(b)$.
  2. Is the converse of the statement above true or false? Make sure you prove your result.

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