Solve absolute value inequality. |(2x+6)/3|<2

Russell Gillen

Russell Gillen

Answered question

2021-12-12

Solve absolute value inequality.
|(2x+6)/3|<2

Answer & Explanation

Elaine Verrett

Elaine Verrett

Beginner2021-12-13Added 41 answers

Step 1
Given that :
|(2x+6)3<2|
|x| denotes the absolute value of x.
Given an inequality in the form |x| Let |(2x+6)3|<2
Then the solution of this inequality look like:
2<(2x+6)3<2
Multiply by 3 to each term of the inequality:
-2(3)<(2x+6)<2(3)
-6<2x+6<6
Subtract 6 to each term of the inequality:
To get,
-12<2x <0
Step 2
Divide each term by 2:
To get,
-6 The given inequality is true for any value of x in that interval.

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