Answer:
x < - [tex]\frac{2}{5}[/tex] or x > 2
Step-by-step explanation:
inequalities of the form | x | > a always have solutions of the form
x < - a or x > a, hence
5x - 4 < - 6 or 5x - 4 > 6 ( add 4 to both sides in both inequalities )
5x < - 2 or 5x > 10 ( divide both sides by 5 in both inequalities )
x < - [tex]\frac{2}{5}[/tex] or x > 2
The solutions can be expressed in interval notation as
x ∈ (- ∞, - [tex]\frac{2}{5}[/tex]) ∪ (2, ∞ )