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

Reggie

Reggie

Answered question

2021-01-22

Solve the following absolute value inequality.
|x2|>6

Answer & Explanation

sweererlirumeX

sweererlirumeX

Skilled2021-01-23Added 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

Jeffrey Jordon

Jeffrey Jordon

Expert2021-11-14Added 2605 answers

Answer is given below (on video)

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