Absolute value inequalities are not quite the same as linear inequalities. Of course the biggest difference is that absolute value inequalities have an absolute value symbol. No problem, we can solve these bad boys by rewriting the absolute value inequality in a different way such that it does not have the absolute value part. As the steps below will show you it’s not too hard to write an absolute value inequality as a compound inequality. Lost? well don’t stress- go back and review solving linear inequalities in particular compound inequalities. One last point, students often confuse solving an absolute value equation with an absolute value inequality….don’t make this mistake amigo! they are quite different. Good luck!
some key topics that involve solving absolute value inequalities:
* compound inequalities
* linear inequalities
* quadratic inequalities
* linear programming
* SAT and ACT exams
* college prep math and science courses