janellezavaletaa janellezavaletaa
  • 18-07-2022
  • Mathematics
contestada

Solve the inequality and write in interval notation

2−5|6x−4|<−13

Respuesta :

MrRoyal
MrRoyal MrRoyal
  • 19-07-2022

The solution to the inequality is (7/6, ∝) and (-∝, 7/6)

How to solve the inequality?

The inequality expression is given as:

2−5|6x−4|<−13

Subtract 2 from both sides

|6x−4|<−15

Divide through by -5

|6x−4| > 3

Remove the inequality sign

6x - 4 > 3 or 6x - 4 < 3

Add 4 to both sides

6x > 7 or 6x < 7

Divide by 6

x > 7/6 or x < 7/6

In interval notation, we have:

(7/6, ∝) and (-∝, 7/6)

Read more about inequality at:

https://brainly.com/question/18881247

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