crystalclevelandkofa crystalclevelandkofa
  • 12-12-2018
  • Mathematics
contestada

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

Respuesta :

jimrgrant1 jimrgrant1
  • 12-12-2018

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, ∞ )



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