Question

solve the inequality:
2|3x+9|<36​

Answer 1

Answer:

helooooooooooo ok it's 9

Answer 2

Answer:

-3<x<9

Step-by-step explanation:

2|3x-9|<36

Step by step solution :

STEP

1

:

Rearrange this Absolute Value Inequality

Absolute value inequalitiy entered

2|3x-9| < 36

STEP

2

:

Clear the Absolute Value Bars

Clear the absolute-value bars by splitting the equation into its two cases, one for the Positive case and the other for the Negative case.

The Absolute Value term is 2|3x-9|

For the Negative case we'll use -2(3x-9)

For the Positive case we'll use 2(3x-9)

STEP

3

:

Solve the Negative Case

-2(3x-9) < 36

Multiply

-6x+18 < 36

Rearrange and Add up

-6x < 18

Divide both sides by 6

-x < 3

Multiply both sides by (-1)

Remember to flip the inequality sign

x > -3

Which is the solution for the Negative Case

STEP

4

:

Solve the Positive Case

2(3x-9) < 36

Multiply

6x-18 < 36

Rearrange and Add up

6x < 54

Divide both sides by 6

x < 9

Which is the solution for the Positive Case

STEP

5

:

Wrap up the solution

-3 < x < 9

Solution in Interval Notation

(-3,9)

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