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A signal $x(t)$ is band-limited between $100 \; \text{Hz}$ and $200 \; \text{Hz}.$

A signal $y(t)$ is related to $x(t)$ as follows:

$$y(t) = x (2t – 5)$$

The statement that is always true is _______

  1. $y(t)$ is band-limited between $50 \; \text{Hz}$ and $100 \; \text{Hz}$
  2. $y(t)$ is band-limited between $100 \; \text{Hz}$ and $200 \; \text{Hz}$
  3. $y(t)$ is band-limited between $200 \; \text{Hz}$ and $400 \; \text{Hz}$
  4. $y(t)$ is not band-limited
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