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Problem 9: (Obtaining A Roster From Set Builder Notation)

For each set below, list the elements of the set using roster notation. Then pick one of the claims you have made below and prove your claim.

  1. $S=\{x\in \mathbb{N}\mid\ |x|\leq 2\}$
  2. $T=\{3x\mid 0<x\leq 4 \text{ and }x\in\mathbb{Z}\}$
  3. $M=\{3x-1\mid x\in\mathbb{Z}\}$

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