17.32 USE problems

Problem: Find all values of the parameter \( \omega \), for each one of which the equation \( \left|\frac{1}{2 \sigma}-3\right|-\omega \sigma-\frac{3}{2}=0 \) with respect to the positive value of \( \sigma \) has no solution. If the question of the task allows some variants of answer, show them in the form of a set.