Additional homework problem on absolute value inequalities - challenging!

Solve for x:

$|x^2 -5x| \ge 6$


This must be solved by the first method in the textbook(the method of Example 1.18): the second method will not work. [You can do the translation, but the resulting quadratic inequalities cannot be solved except by resorting to the first method anyway, so you might as well start there.]

In case the math notation does not display correctly, you may also see this problem in Piazza