Which is a finite set?

Which is a finite set?
  1. $\{x : x$ is a multiple of $7$, $x < 100\}$
  2. $\{x : x \in \mathbb{N},\ x$ is even$\}$
  3. $\{x : x$ is a real number$\}$
  4. $\{x : x \in \mathbb{Z}\}$

Solution

Multiples of $7$ below $100$: $\{7, 14, \ldots, 98\}$ — finite.

Asked in: MH-SSC-9

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