Final answer:
To avoid spectral aliasing, an analog signal x(t) should be sampled at a frequency greater than twice its highest frequency. In this case the minimum sampling frequency to avoid spectral aliasing would be greater than 4000 Hz.
Step-by-step explanation:
To avoid spectral aliasing, an analog signal x(t) should be sampled at a frequency greater than twice its highest frequency. In this case, since the highest frequency of the analog signal is 2000 Hz the minimum sampling frequency to avoid spectral aliasing would be greater than 4000 Hz.