To solve an absolute value inequality containing a 'less than' or 'less than or equal to' symbol, follow a systematic five-step procedure. First, isolate the absolute value expression on one side of the inequality. Second, translate the isolated absolute value inequality into its equivalent compound inequality (for instance, converting $|u| \leq a$ into $-a \leq u \leq a$). Third, solve the resulting compound inequality to find the permissible range for the variable. Fourth, properly graph the resulting mathematical solution on a standard number line. Finally, write the fully bounded solution utilizing formal interval notation.