Solve the following absolute value inequality. |x-2|>6

Reggie 2021-01-22 Answered
Solve the following absolute value inequality.
|x2|>6
You can still ask an expert for help

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Solve your problem for the price of one coffee

  • Available 24/7
  • Math expert for every subject
  • Pay only if we can solve it
Ask Question

Expert Answer

sweererlirumeX
Answered 2021-01-23 Author has 91 answers

Step 1
We can write the given function without absolute value as:
|x2|>6
x2>6 or x2<6
Step 2
Then we add 2 to both sides of both inequalities
x2>6orx2<6
x2+2>6+2 or x2+2<6+2
x>8 or x<4
Result: x>8 or x<4

Not exactly what you’re looking for?
Ask My Question
Jeffrey Jordon
Answered 2021-11-14 Author has 2064 answers

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more