Answer:
IωI > 5000π rad/s
Step-by-step explanation:
Step 1
The value of ω at which X(jω) is assumed to be zero is given by,
IωI > ω_M
where ω_M is the maximum frequency of the original signal.
Assume that the sampling frequency we equals the Nyquist rate ω_N
Step 2
Then the value of ω is given by,
IωI > ω_M
> ω_s/2
> 10000π/2
> 5000π
thus,
IωI > 5000π rad/s