Solve the absolute value inequality 2|3x+9|<18.

Answered question

2022-03-16

Solve the absolute value inequality 2|3x+9|<18.

Answer & Explanation

Ian Adams

Ian Adams

Skilled2022-03-24Added 163 answers

2|3x+9|<18

Divide each term in 2|3x+9|<18 by 2 and simplify.

|3x+9|<9

Write |3x+9|<9 as a piecewise.

{3x+9<9x-3-3x-9<9x<-3 

Solve 3x+9<9 when x-3.

-3x<0

Solve -3x-9<9 when x<-3.

-6<x<-3

Find the union of the solutions.

-6<x<0

The result can be shown in multiple forms.

Inequality Form:

-6<x<0

Interval Notation:

(6,0)

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