|x - 94.8| >= 2.4. The solutions for this inequality are those values of x that are remoted farther than 2.4 from the point (from the value) of 94.8. So, these solutions are these two sets x >= 94.8 + 2.4 = 97.2 and x <= 94.8 - 2.4 = 92.4. Answer. The solutions to the given inequality are these two sets {x <= 92.4} and {x >= 97.2}. In other words, the solution is the union of these two sets.