Question

How do you solve |5x-4|>6

Answer 1

Answer:

x < - $\frac{2}{5}$ 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 < - $\frac{2}{5}$ or x > 2

The solutions can be expressed in interval notation as

x ∈ (- ∞, - $\frac{2}{5}$) ∪ (2, ∞ )