How can a signal have two maximum frequency components?
$x(t)$ must be a band pass signal. Under certain conditions on the sampling frequency and its relation to the lower and upper band edges of the signal, $x(t)$ can be sampled at a frequency that is lower than twice its maximum frequency, without introducing aliasing. Have a look at this article and at this answer to a related question.

For the numbers given in your question, if the lower band edge $\omega_l$ of $x(t)$ satisfies $5&lt;\omega_l&lt;7$ then sampling with $\omega_s=10$ will allow reconstruction of the signal without aliasing.