[h1]Day 9: Absolute Value Inequalities[/h1]

[b]Day 9: Absolute Value Inequalities[/b] Now, it's time to culminate all of our skill in inequalities utilizing absolute value. Suppose |x - 7| > 4 First, we need to remove absolute value, as per definition, as follows x - 7 > 4 OR x - 7 < -4 (When we split absolute value inequalities, if the original inequality is a greater than (or equal to), it will split to a disjunction. If the original inequality is a less than (or equal to), it will split to a conjunction) Now, solve the inequality and you get: x > 11 OR x < 3 {http://www.youtube.com/watch?v=BhFj7Rkyc5E}