In the previous work, the author proposed a general method for finding all solutions of the differential inequality in explicit form, which is based on the formula of the general solution of the corresponding differential equation or, in other words on the method of the variation of arbitrary constants. Criteria of extendibility of solutions and characteristics of the maximally extended (full) solution of the inequality had been proven. In the present paper, these results are applied specific types of inequalities to the most frequently encountered in applications and literature. We also compare them to other methods in existing literature. Keywords: differential inequality, comparison theorems, integration in explicit form, general solution, method of variations, continuation of solution, nonuniqueness points.